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Finding the Fourth Proportional to 147.09, 220.57 and 86.24

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Solution

The fourth proportional to 147.09, 220.57 and 86.24 is: 129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.09 : 220.57 = 86.24 : x
  2. Step 2: Convert to fraction form
    147.09/220.57 = 86.24/x
  3. Step 3: Cross multiply
    147.09x = 220.57 × 86.24
  4. Step 4: Simplify right side
    147.09x = 19,022.29
  5. Step 5: Solve for x
    x = 19,022.29/147.09
  6. Step 6: Final answer
    x = 129.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.