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Finding the Fourth Proportional to 138.26, 207.28 and 65.10

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Solution

The fourth proportional to 138.26, 207.28 and 65.10 is: 97.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 207.28 = 65.10 : x
  2. Step 2: Convert to fraction form
    138.26/207.28 = 65.10/x
  3. Step 3: Cross multiply
    138.26x = 207.28 × 65.10
  4. Step 4: Simplify right side
    138.26x = 13,494.91
  5. Step 5: Solve for x
    x = 13,494.91/138.26
  6. Step 6: Final answer
    x = 97.60

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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.