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Finding the Fourth Proportional to 73.74, 110.43 and 52.02

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Solution

The fourth proportional to 73.74, 110.43 and 52.02 is: 77.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.74 : 110.43 = 52.02 : x
  2. Step 2: Convert to fraction form
    73.74/110.43 = 52.02/x
  3. Step 3: Cross multiply
    73.74x = 110.43 × 52.02
  4. Step 4: Simplify right side
    73.74x = 5,744.57
  5. Step 5: Solve for x
    x = 5,744.57/73.74
  6. Step 6: Final answer
    x = 77.90

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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.