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Finding the Fourth Proportional to 101.41, 139.94 and 71.95

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Solution

The fourth proportional to 101.41, 139.94 and 71.95 is: 99.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.41 : 139.94 = 71.95 : x
  2. Step 2: Convert to fraction form
    101.41/139.94 = 71.95/x
  3. Step 3: Cross multiply
    101.41x = 139.94 × 71.95
  4. Step 4: Simplify right side
    101.41x = 10,069.04
  5. Step 5: Solve for x
    x = 10,069.04/101.41
  6. Step 6: Final answer
    x = 99.29

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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.