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Finding the Fourth Proportional to 138.16, 206.92 and 106.28

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Solution

The fourth proportional to 138.16, 206.92 and 106.28 is: 159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 206.92 = 106.28 : x
  2. Step 2: Convert to fraction form
    138.16/206.92 = 106.28/x
  3. Step 3: Cross multiply
    138.16x = 206.92 × 106.28
  4. Step 4: Simplify right side
    138.16x = 21,991.46
  5. Step 5: Solve for x
    x = 21,991.46/138.16
  6. Step 6: Final answer
    x = 159.17

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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.