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Finding the Fourth Proportional to 80.14, 110.63 and 55.61

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Solution

The fourth proportional to 80.14, 110.63 and 55.61 is: 76.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.14 : 110.63 = 55.61 : x
  2. Step 2: Convert to fraction form
    80.14/110.63 = 55.61/x
  3. Step 3: Cross multiply
    80.14x = 110.63 × 55.61
  4. Step 4: Simplify right side
    80.14x = 6,152.13
  5. Step 5: Solve for x
    x = 6,152.13/80.14
  6. Step 6: Final answer
    x = 76.77

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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.