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Finding the Fourth Proportional to 87.32, 120.36 and 65.48

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Solution

The fourth proportional to 87.32, 120.36 and 65.48 is: 90.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.32 : 120.36 = 65.48 : x
  2. Step 2: Convert to fraction form
    87.32/120.36 = 65.48/x
  3. Step 3: Cross multiply
    87.32x = 120.36 × 65.48
  4. Step 4: Simplify right side
    87.32x = 7,881.17
  5. Step 5: Solve for x
    x = 7,881.17/87.32
  6. Step 6: Final answer
    x = 90.26

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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.