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Finding the Fourth Proportional to 138.37, 207.37 and 106.15

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Solution

The fourth proportional to 138.37, 207.37 and 106.15 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.37 : 207.37 = 106.15 : x
  2. Step 2: Convert to fraction form
    138.37/207.37 = 106.15/x
  3. Step 3: Cross multiply
    138.37x = 207.37 × 106.15
  4. Step 4: Simplify right side
    138.37x = 22,010.76
  5. Step 5: Solve for x
    x = 22,010.76/138.37
  6. Step 6: Final answer
    x = 159.08

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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.