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Finding the Fourth Proportional to 62.48, 94.43 and 61.42

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Solution

The fourth proportional to 62.48, 94.43 and 61.42 is: 92.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.48 : 94.43 = 61.42 : x
  2. Step 2: Convert to fraction form
    62.48/94.43 = 61.42/x
  3. Step 3: Cross multiply
    62.48x = 94.43 × 61.42
  4. Step 4: Simplify right side
    62.48x = 5,799.89
  5. Step 5: Solve for x
    x = 5,799.89/62.48
  6. Step 6: Final answer
    x = 92.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.