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Finding the Fourth Proportional to 137.42, 206.14 and 76.51

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Solution

The fourth proportional to 137.42, 206.14 and 76.51 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.42 : 206.14 = 76.51 : x
  2. Step 2: Convert to fraction form
    137.42/206.14 = 76.51/x
  3. Step 3: Cross multiply
    137.42x = 206.14 × 76.51
  4. Step 4: Simplify right side
    137.42x = 15,770.61
  5. Step 5: Solve for x
    x = 15,770.61/137.42
  6. Step 6: Final answer
    x = 114.76

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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.