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Finding the Fourth Proportional to 140.27, 193.49 and 89.70

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Solution

The fourth proportional to 140.27, 193.49 and 89.70 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.27 : 193.49 = 89.70 : x
  2. Step 2: Convert to fraction form
    140.27/193.49 = 89.70/x
  3. Step 3: Cross multiply
    140.27x = 193.49 × 89.70
  4. Step 4: Simplify right side
    140.27x = 17,356.81
  5. Step 5: Solve for x
    x = 17,356.81/140.27
  6. Step 6: Final answer
    x = 123.74

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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.