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Finding the Fourth Proportional to 86.16, 129.16 and 38.12

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Solution

The fourth proportional to 86.16, 129.16 and 38.12 is: 57.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.16 : 129.16 = 38.12 : x
  2. Step 2: Convert to fraction form
    86.16/129.16 = 38.12/x
  3. Step 3: Cross multiply
    86.16x = 129.16 × 38.12
  4. Step 4: Simplify right side
    86.16x = 4,923.58
  5. Step 5: Solve for x
    x = 4,923.58/86.16
  6. Step 6: Final answer
    x = 57.14

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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.