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Finding the Fourth Proportional to 101.75, 140.28 and 71.78

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Solution

The fourth proportional to 101.75, 140.28 and 71.78 is: 98.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.75 : 140.28 = 71.78 : x
  2. Step 2: Convert to fraction form
    101.75/140.28 = 71.78/x
  3. Step 3: Cross multiply
    101.75x = 140.28 × 71.78
  4. Step 4: Simplify right side
    101.75x = 10,068.60
  5. Step 5: Solve for x
    x = 10,068.60/101.75
  6. Step 6: Final answer
    x = 98.96

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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.