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Finding the Fourth Proportional to 138.11, 206.96 and 114.01

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Solution

The fourth proportional to 138.11, 206.96 and 114.01 is: 170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.11 : 206.96 = 114.01 : x
  2. Step 2: Convert to fraction form
    138.11/206.96 = 114.01/x
  3. Step 3: Cross multiply
    138.11x = 206.96 × 114.01
  4. Step 4: Simplify right side
    138.11x = 23,594.42
  5. Step 5: Solve for x
    x = 23,594.42/138.11
  6. Step 6: Final answer
    x = 170.84

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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.