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Finding the Fourth Proportional to 92.20, 138.33 and 65.13

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Solution

The fourth proportional to 92.20, 138.33 and 65.13 is: 97.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.20 : 138.33 = 65.13 : x
  2. Step 2: Convert to fraction form
    92.20/138.33 = 65.13/x
  3. Step 3: Cross multiply
    92.20x = 138.33 × 65.13
  4. Step 4: Simplify right side
    92.20x = 9,009.43
  5. Step 5: Solve for x
    x = 9,009.43/92.20
  6. Step 6: Final answer
    x = 97.72

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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.