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Finding the Fourth Proportional to 101.06, 139.46 and 59.61

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Solution

The fourth proportional to 101.06, 139.46 and 59.61 is: 82.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 139.46 = 59.61 : x
  2. Step 2: Convert to fraction form
    101.06/139.46 = 59.61/x
  3. Step 3: Cross multiply
    101.06x = 139.46 × 59.61
  4. Step 4: Simplify right side
    101.06x = 8,312.56
  5. Step 5: Solve for x
    x = 8,312.56/101.06
  6. Step 6: Final answer
    x = 82.25

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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.