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Finding the Fourth Proportional to 73.47, 110.34 and 50.66

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Solution

The fourth proportional to 73.47, 110.34 and 50.66 is: 76.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.47 : 110.34 = 50.66 : x
  2. Step 2: Convert to fraction form
    73.47/110.34 = 50.66/x
  3. Step 3: Cross multiply
    73.47x = 110.34 × 50.66
  4. Step 4: Simplify right side
    73.47x = 5,589.27
  5. Step 5: Solve for x
    x = 5,589.27/73.47
  6. Step 6: Final answer
    x = 76.08

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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.