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Finding the Fourth Proportional to 80.46, 111.04 and 47.75

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Solution

The fourth proportional to 80.46, 111.04 and 47.75 is: 65.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.46 : 111.04 = 47.75 : x
  2. Step 2: Convert to fraction form
    80.46/111.04 = 47.75/x
  3. Step 3: Cross multiply
    80.46x = 111.04 × 47.75
  4. Step 4: Simplify right side
    80.46x = 5,301.49
  5. Step 5: Solve for x
    x = 5,301.49/80.46
  6. Step 6: Final answer
    x = 65.89

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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.