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Finding the Fourth Proportional to 113.63, 157.53 and 107.78

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Solution

The fourth proportional to 113.63, 157.53 and 107.78 is: 149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 157.53 = 107.78 : x
  2. Step 2: Convert to fraction form
    113.63/157.53 = 107.78/x
  3. Step 3: Cross multiply
    113.63x = 157.53 × 107.78
  4. Step 4: Simplify right side
    113.63x = 16,978.58
  5. Step 5: Solve for x
    x = 16,978.58/113.63
  6. Step 6: Final answer
    x = 149.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.