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Finding the Fourth Proportional to 86.91, 129.50 and 86.55

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Solution

The fourth proportional to 86.91, 129.50 and 86.55 is: 128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.91 : 129.50 = 86.55 : x
  2. Step 2: Convert to fraction form
    86.91/129.50 = 86.55/x
  3. Step 3: Cross multiply
    86.91x = 129.50 × 86.55
  4. Step 4: Simplify right side
    86.91x = 11,207.79
  5. Step 5: Solve for x
    x = 11,207.79/86.91
  6. Step 6: Final answer
    x = 128.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.