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Finding the Fourth Proportional to 138.40, 207.12 and 95.68

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Solution

The fourth proportional to 138.40, 207.12 and 95.68 is: 143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.40 : 207.12 = 95.68 : x
  2. Step 2: Convert to fraction form
    138.40/207.12 = 95.68/x
  3. Step 3: Cross multiply
    138.40x = 207.12 × 95.68
  4. Step 4: Simplify right side
    138.40x = 19,817.24
  5. Step 5: Solve for x
    x = 19,817.24/138.40
  6. Step 6: Final answer
    x = 143.19

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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.