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Finding the Fourth Proportional to 92.72, 138.80 and 74.72

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Solution

The fourth proportional to 92.72, 138.80 and 74.72 is: 111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.72 : 138.80 = 74.72 : x
  2. Step 2: Convert to fraction form
    92.72/138.80 = 74.72/x
  3. Step 3: Cross multiply
    92.72x = 138.80 × 74.72
  4. Step 4: Simplify right side
    92.72x = 10,371.14
  5. Step 5: Solve for x
    x = 10,371.14/92.72
  6. Step 6: Final answer
    x = 111.85

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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.