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Finding the Fourth Proportional to 138.30, 207.27 and 65.13

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Solution

The fourth proportional to 138.30, 207.27 and 65.13 is: 97.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.30 : 207.27 = 65.13 : x
  2. Step 2: Convert to fraction form
    138.30/207.27 = 65.13/x
  3. Step 3: Cross multiply
    138.30x = 207.27 × 65.13
  4. Step 4: Simplify right side
    138.30x = 13,499.50
  5. Step 5: Solve for x
    x = 13,499.50/138.30
  6. Step 6: Final answer
    x = 97.61

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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.