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Finding the Fourth Proportional to 73.76, 110.56 and 41.24

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Solution

The fourth proportional to 73.76, 110.56 and 41.24 is: 61.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.76 : 110.56 = 41.24 : x
  2. Step 2: Convert to fraction form
    73.76/110.56 = 41.24/x
  3. Step 3: Cross multiply
    73.76x = 110.56 × 41.24
  4. Step 4: Simplify right side
    73.76x = 4,559.49
  5. Step 5: Solve for x
    x = 4,559.49/73.76
  6. Step 6: Final answer
    x = 61.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.