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Finding the Fourth Proportional to 73.91, 102 and 44.39

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Solution

The fourth proportional to 73.91, 102 and 44.39 is: 61.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.91 : 102 = 44.39 : x
  2. Step 2: Convert to fraction form
    73.91/102 = 44.39/x
  3. Step 3: Cross multiply
    73.91x = 102 × 44.39
  4. Step 4: Simplify right side
    73.91x = 4,527.78
  5. Step 5: Solve for x
    x = 4,527.78/73.91
  6. Step 6: Final answer
    x = 61.26

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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.