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Finding the Fourth Proportional to 137.84, 206.40 and 97.12

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Solution

The fourth proportional to 137.84, 206.40 and 97.12 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 206.40 = 97.12 : x
  2. Step 2: Convert to fraction form
    137.84/206.40 = 97.12/x
  3. Step 3: Cross multiply
    137.84x = 206.40 × 97.12
  4. Step 4: Simplify right side
    137.84x = 20,045.57
  5. Step 5: Solve for x
    x = 20,045.57/137.84
  6. Step 6: Final answer
    x = 145.43

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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.