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Finding the Fourth Proportional to 92.43, 139.35 and 86.56

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Solution

The fourth proportional to 92.43, 139.35 and 86.56 is: 130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.43 : 139.35 = 86.56 : x
  2. Step 2: Convert to fraction form
    92.43/139.35 = 86.56/x
  3. Step 3: Cross multiply
    92.43x = 139.35 × 86.56
  4. Step 4: Simplify right side
    92.43x = 12,061.79
  5. Step 5: Solve for x
    x = 12,061.79/92.43
  6. Step 6: Final answer
    x = 130.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.