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Finding the Fourth Proportional to 87.17, 120.21 and 54.38

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Solution

The fourth proportional to 87.17, 120.21 and 54.38 is: 74.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.17 : 120.21 = 54.38 : x
  2. Step 2: Convert to fraction form
    87.17/120.21 = 54.38/x
  3. Step 3: Cross multiply
    87.17x = 120.21 × 54.38
  4. Step 4: Simplify right side
    87.17x = 6,537.02
  5. Step 5: Solve for x
    x = 6,537.02/87.17
  6. Step 6: Final answer
    x = 74.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.