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Finding the Fourth Proportional to 101.06, 139.48 and 84.68

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Solution

The fourth proportional to 101.06, 139.48 and 84.68 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 139.48 = 84.68 : x
  2. Step 2: Convert to fraction form
    101.06/139.48 = 84.68/x
  3. Step 3: Cross multiply
    101.06x = 139.48 × 84.68
  4. Step 4: Simplify right side
    101.06x = 11,810.78
  5. Step 5: Solve for x
    x = 11,810.78/101.06
  6. Step 6: Final answer
    x = 116.87

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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.