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Finding the Fourth Proportional to 86.60, 129.89 and 31.75

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Solution

The fourth proportional to 86.60, 129.89 and 31.75 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.60 : 129.89 = 31.75 : x
  2. Step 2: Convert to fraction form
    86.60/129.89 = 31.75/x
  3. Step 3: Cross multiply
    86.60x = 129.89 × 31.75
  4. Step 4: Simplify right side
    86.60x = 4,124.01
  5. Step 5: Solve for x
    x = 4,124.01/86.60
  6. Step 6: Final answer
    x = 47.62

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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.