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Finding the Fourth Proportional to 86.06, 129.14 and 37.97

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Solution

The fourth proportional to 86.06, 129.14 and 37.97 is: 56.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.06 : 129.14 = 37.97 : x
  2. Step 2: Convert to fraction form
    86.06/129.14 = 37.97/x
  3. Step 3: Cross multiply
    86.06x = 129.14 × 37.97
  4. Step 4: Simplify right side
    86.06x = 4,903.45
  5. Step 5: Solve for x
    x = 4,903.45/86.06
  6. Step 6: Final answer
    x = 56.98

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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.