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Finding the Fourth Proportional to 138.26, 207.24 and 65.08

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Solution

The fourth proportional to 138.26, 207.24 and 65.08 is: 97.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 207.24 = 65.08 : x
  2. Step 2: Convert to fraction form
    138.26/207.24 = 65.08/x
  3. Step 3: Cross multiply
    138.26x = 207.24 × 65.08
  4. Step 4: Simplify right side
    138.26x = 13,486.14
  5. Step 5: Solve for x
    x = 13,486.14/138.26
  6. Step 6: Final answer
    x = 97.54

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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.