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Finding the Fourth Proportional to 137.56, 206.14 and 73.24

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Solution

The fourth proportional to 137.56, 206.14 and 73.24 is: 109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.56 : 206.14 = 73.24 : x
  2. Step 2: Convert to fraction form
    137.56/206.14 = 73.24/x
  3. Step 3: Cross multiply
    137.56x = 206.14 × 73.24
  4. Step 4: Simplify right side
    137.56x = 15,097.69
  5. Step 5: Solve for x
    x = 15,097.69/137.56
  6. Step 6: Final answer
    x = 109.75

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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.