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Finding the Fourth Proportional to 105.92, 159.47 and 87.80

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Solution

The fourth proportional to 105.92, 159.47 and 87.80 is: 132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 159.47 = 87.80 : x
  2. Step 2: Convert to fraction form
    105.92/159.47 = 87.80/x
  3. Step 3: Cross multiply
    105.92x = 159.47 × 87.80
  4. Step 4: Simplify right side
    105.92x = 14,000.56
  5. Step 5: Solve for x
    x = 14,000.56/105.92
  6. Step 6: Final answer
    x = 132.18

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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.