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Finding the Fourth Proportional to 40.52, 60.76 and 22.49

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Solution

The fourth proportional to 40.52, 60.76 and 22.49 is: 33.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.52 : 60.76 = 22.49 : x
  2. Step 2: Convert to fraction form
    40.52/60.76 = 22.49/x
  3. Step 3: Cross multiply
    40.52x = 60.76 × 22.49
  4. Step 4: Simplify right side
    40.52x = 1,366.13
  5. Step 5: Solve for x
    x = 1,366.13/40.52
  6. Step 6: Final answer
    x = 33.71

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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.