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Finding the Fourth Proportional to 113.63, 155.77 and 107.55

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Solution

The fourth proportional to 113.63, 155.77 and 107.55 is: 147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 155.77 = 107.55 : x
  2. Step 2: Convert to fraction form
    113.63/155.77 = 107.55/x
  3. Step 3: Cross multiply
    113.63x = 155.77 × 107.55
  4. Step 4: Simplify right side
    113.63x = 16,752.79
  5. Step 5: Solve for x
    x = 16,752.79/113.63
  6. Step 6: Final answer
    x = 147.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.