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Finding the Fourth Proportional to 74.62, 102.91 and 67.42

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Solution

The fourth proportional to 74.62, 102.91 and 67.42 is: 92.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.62 : 102.91 = 67.42 : x
  2. Step 2: Convert to fraction form
    74.62/102.91 = 67.42/x
  3. Step 3: Cross multiply
    74.62x = 102.91 × 67.42
  4. Step 4: Simplify right side
    74.62x = 6,937.34
  5. Step 5: Solve for x
    x = 6,937.34/74.62
  6. Step 6: Final answer
    x = 92.98

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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.