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Finding the Fourth Proportional to 113.02, 155.48 and 107.98

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Solution

The fourth proportional to 113.02, 155.48 and 107.98 is: 148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.02 : 155.48 = 107.98 : x
  2. Step 2: Convert to fraction form
    113.02/155.48 = 107.98/x
  3. Step 3: Cross multiply
    113.02x = 155.48 × 107.98
  4. Step 4: Simplify right side
    113.02x = 16,788.73
  5. Step 5: Solve for x
    x = 16,788.73/113.02
  6. Step 6: Final answer
    x = 148.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.