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Finding the Fourth Proportional to 138.16, 207.04 and 126.16

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Solution

The fourth proportional to 138.16, 207.04 and 126.16 is: 189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 207.04 = 126.16 : x
  2. Step 2: Convert to fraction form
    138.16/207.04 = 126.16/x
  3. Step 3: Cross multiply
    138.16x = 207.04 × 126.16
  4. Step 4: Simplify right side
    138.16x = 26,120.17
  5. Step 5: Solve for x
    x = 26,120.17/138.16
  6. Step 6: Final answer
    x = 189.06

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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.