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Finding the Fourth Proportional to 138.13, 206.85 and 114.88

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Solution

The fourth proportional to 138.13, 206.85 and 114.88 is: 172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.13 : 206.85 = 114.88 : x
  2. Step 2: Convert to fraction form
    138.13/206.85 = 114.88/x
  3. Step 3: Cross multiply
    138.13x = 206.85 × 114.88
  4. Step 4: Simplify right side
    138.13x = 23,762.93
  5. Step 5: Solve for x
    x = 23,762.93/138.13
  6. Step 6: Final answer
    x = 172.03

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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.