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Finding the Fourth Proportional to 86.55, 129.84 and 31.70

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Solution

The fourth proportional to 86.55, 129.84 and 31.70 is: 47.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.55 : 129.84 = 31.70 : x
  2. Step 2: Convert to fraction form
    86.55/129.84 = 31.70/x
  3. Step 3: Cross multiply
    86.55x = 129.84 × 31.70
  4. Step 4: Simplify right side
    86.55x = 4,115.93
  5. Step 5: Solve for x
    x = 4,115.93/86.55
  6. Step 6: Final answer
    x = 47.56

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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.