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Finding the Fourth Proportional to 73.77, 110.03 and 71.55

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Solution

The fourth proportional to 73.77, 110.03 and 71.55 is: 106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.77 : 110.03 = 71.55 : x
  2. Step 2: Convert to fraction form
    73.77/110.03 = 71.55/x
  3. Step 3: Cross multiply
    73.77x = 110.03 × 71.55
  4. Step 4: Simplify right side
    73.77x = 7,872.29
  5. Step 5: Solve for x
    x = 7,872.29/73.77
  6. Step 6: Final answer
    x = 106.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.