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Finding the Fourth Proportional to 92.25, 138.24 and 38.13

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Solution

The fourth proportional to 92.25, 138.24 and 38.13 is: 57.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 138.24 = 38.13 : x
  2. Step 2: Convert to fraction form
    92.25/138.24 = 38.13/x
  3. Step 3: Cross multiply
    92.25x = 138.24 × 38.13
  4. Step 4: Simplify right side
    92.25x = 5,271.09
  5. Step 5: Solve for x
    x = 5,271.09/92.25
  6. Step 6: Final answer
    x = 57.14

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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.