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Finding the Fourth Proportional to 80.16, 110.66 and 49.08

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Solution

The fourth proportional to 80.16, 110.66 and 49.08 is: 67.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 110.66 = 49.08 : x
  2. Step 2: Convert to fraction form
    80.16/110.66 = 49.08/x
  3. Step 3: Cross multiply
    80.16x = 110.66 × 49.08
  4. Step 4: Simplify right side
    80.16x = 5,431.59
  5. Step 5: Solve for x
    x = 5,431.59/80.16
  6. Step 6: Final answer
    x = 67.76

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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.