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Finding the Fourth Proportional to 86.42, 129.42 and 77.78

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Solution

The fourth proportional to 86.42, 129.42 and 77.78 is: 116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.42 : 129.42 = 77.78 : x
  2. Step 2: Convert to fraction form
    86.42/129.42 = 77.78/x
  3. Step 3: Cross multiply
    86.42x = 129.42 × 77.78
  4. Step 4: Simplify right side
    86.42x = 10,066.29
  5. Step 5: Solve for x
    x = 10,066.29/86.42
  6. Step 6: Final answer
    x = 116.48

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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.