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Finding the Fourth Proportional to 62.25, 93.42 and 40.92

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Solution

The fourth proportional to 62.25, 93.42 and 40.92 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.25 : 93.42 = 40.92 : x
  2. Step 2: Convert to fraction form
    62.25/93.42 = 40.92/x
  3. Step 3: Cross multiply
    62.25x = 93.42 × 40.92
  4. Step 4: Simplify right side
    62.25x = 3,822.75
  5. Step 5: Solve for x
    x = 3,822.75/62.25
  6. Step 6: Final answer
    x = 61.41

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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.