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Finding the Fourth Proportional to 140.78, 193.22 and 124.88

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Solution

The fourth proportional to 140.78, 193.22 and 124.88 is: 171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.78 : 193.22 = 124.88 : x
  2. Step 2: Convert to fraction form
    140.78/193.22 = 124.88/x
  3. Step 3: Cross multiply
    140.78x = 193.22 × 124.88
  4. Step 4: Simplify right side
    140.78x = 24,129.31
  5. Step 5: Solve for x
    x = 24,129.31/140.78
  6. Step 6: Final answer
    x = 171.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.