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Finding the Fourth Proportional to 101.06, 139.16 and 89.83

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Solution

The fourth proportional to 101.06, 139.16 and 89.83 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 139.16 = 89.83 : x
  2. Step 2: Convert to fraction form
    101.06/139.16 = 89.83/x
  3. Step 3: Cross multiply
    101.06x = 139.16 × 89.83
  4. Step 4: Simplify right side
    101.06x = 12,500.74
  5. Step 5: Solve for x
    x = 12,500.74/101.06
  6. Step 6: Final answer
    x = 123.70

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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.