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Finding the Fourth Proportional to 147.52, 220.10 and 129.52

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Solution

The fourth proportional to 147.52, 220.10 and 129.52 is: 193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.52 : 220.10 = 129.52 : x
  2. Step 2: Convert to fraction form
    147.52/220.10 = 129.52/x
  3. Step 3: Cross multiply
    147.52x = 220.10 × 129.52
  4. Step 4: Simplify right side
    147.52x = 28,507.35
  5. Step 5: Solve for x
    x = 28,507.35/147.52
  6. Step 6: Final answer
    x = 193.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.