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Finding the Fourth Proportional to 87.05, 130.64 and 41.42

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Solution

The fourth proportional to 87.05, 130.64 and 41.42 is: 62.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.05 : 130.64 = 41.42 : x
  2. Step 2: Convert to fraction form
    87.05/130.64 = 41.42/x
  3. Step 3: Cross multiply
    87.05x = 130.64 × 41.42
  4. Step 4: Simplify right side
    87.05x = 5,411.23
  5. Step 5: Solve for x
    x = 5,411.23/87.05
  6. Step 6: Final answer
    x = 62.16

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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.