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Finding the Fourth Proportional to 143.84, 198.65 and 124.13

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Solution

The fourth proportional to 143.84, 198.65 and 124.13 is: 171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 198.65 = 124.13 : x
  2. Step 2: Convert to fraction form
    143.84/198.65 = 124.13/x
  3. Step 3: Cross multiply
    143.84x = 198.65 × 124.13
  4. Step 4: Simplify right side
    143.84x = 24,658.42
  5. Step 5: Solve for x
    x = 24,658.42/143.84
  6. Step 6: Final answer
    x = 171.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.