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Finding the Fourth Proportional to 101.34, 139.77 and 61.97

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Solution

The fourth proportional to 101.34, 139.77 and 61.97 is: 85.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.34 : 139.77 = 61.97 : x
  2. Step 2: Convert to fraction form
    101.34/139.77 = 61.97/x
  3. Step 3: Cross multiply
    101.34x = 139.77 × 61.97
  4. Step 4: Simplify right side
    101.34x = 8,660.85
  5. Step 5: Solve for x
    x = 8,660.85/101.34
  6. Step 6: Final answer
    x = 85.46

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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.