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Finding the Fourth Proportional to 92.62, 139.04 and 38.57

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Solution

The fourth proportional to 92.62, 139.04 and 38.57 is: 57.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.62 : 139.04 = 38.57 : x
  2. Step 2: Convert to fraction form
    92.62/139.04 = 38.57/x
  3. Step 3: Cross multiply
    92.62x = 139.04 × 38.57
  4. Step 4: Simplify right side
    92.62x = 5,362.58
  5. Step 5: Solve for x
    x = 5,362.58/92.62
  6. Step 6: Final answer
    x = 57.90

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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.