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Finding the Fourth Proportional to 140.02, 209.63 and 97.14

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Solution

The fourth proportional to 140.02, 209.63 and 97.14 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.02 : 209.63 = 97.14 : x
  2. Step 2: Convert to fraction form
    140.02/209.63 = 97.14/x
  3. Step 3: Cross multiply
    140.02x = 209.63 × 97.14
  4. Step 4: Simplify right side
    140.02x = 20,363.46
  5. Step 5: Solve for x
    x = 20,363.46/140.02
  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.