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Finding the Fourth Proportional to 87.05, 130.41 and 43.66

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Solution

The fourth proportional to 87.05, 130.41 and 43.66 is: 65.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.05 : 130.41 = 43.66 : x
  2. Step 2: Convert to fraction form
    87.05/130.41 = 43.66/x
  3. Step 3: Cross multiply
    87.05x = 130.41 × 43.66
  4. Step 4: Simplify right side
    87.05x = 5,694.23
  5. Step 5: Solve for x
    x = 5,694.23/87.05
  6. Step 6: Final answer
    x = 65.41

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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.