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Finding the Fourth Proportional to 140.47, 193.79 and 101.27

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Solution

The fourth proportional to 140.47, 193.79 and 101.27 is: 139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.47 : 193.79 = 101.27 : x
  2. Step 2: Convert to fraction form
    140.47/193.79 = 101.27/x
  3. Step 3: Cross multiply
    140.47x = 193.79 × 101.27
  4. Step 4: Simplify right side
    140.47x = 19,625.85
  5. Step 5: Solve for x
    x = 19,625.85/140.47
  6. Step 6: Final answer
    x = 139.72

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