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Finding the Fourth Proportional to 92.24, 138.04 and 65.14

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Solution

The fourth proportional to 92.24, 138.04 and 65.14 is: 97.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 138.04 = 65.14 : x
  2. Step 2: Convert to fraction form
    92.24/138.04 = 65.14/x
  3. Step 3: Cross multiply
    92.24x = 138.04 × 65.14
  4. Step 4: Simplify right side
    92.24x = 8,991.42
  5. Step 5: Solve for x
    x = 8,991.42/92.24
  6. Step 6: Final answer
    x = 97.48

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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.