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Finding the Fourth Proportional to 100.74, 139.03 and 59.29

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Solution

The fourth proportional to 100.74, 139.03 and 59.29 is: 81.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.74 : 139.03 = 59.29 : x
  2. Step 2: Convert to fraction form
    100.74/139.03 = 59.29/x
  3. Step 3: Cross multiply
    100.74x = 139.03 × 59.29
  4. Step 4: Simplify right side
    100.74x = 8,243.09
  5. Step 5: Solve for x
    x = 8,243.09/100.74
  6. Step 6: Final answer
    x = 81.83

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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.