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Finding the Fourth Proportional to 87.44, 120.65 and 52.47

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Solution

The fourth proportional to 87.44, 120.65 and 52.47 is: 72.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.44 : 120.65 = 52.47 : x
  2. Step 2: Convert to fraction form
    87.44/120.65 = 52.47/x
  3. Step 3: Cross multiply
    87.44x = 120.65 × 52.47
  4. Step 4: Simplify right side
    87.44x = 6,330.24
  5. Step 5: Solve for x
    x = 6,330.24/87.44
  6. Step 6: Final answer
    x = 72.40

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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.