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Finding the Fourth Proportional to 80.48, 111 and 70.76

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Solution

The fourth proportional to 80.48, 111 and 70.76 is: 97.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.48 : 111 = 70.76 : x
  2. Step 2: Convert to fraction form
    80.48/111 = 70.76/x
  3. Step 3: Cross multiply
    80.48x = 111 × 70.76
  4. Step 4: Simplify right side
    80.48x = 7,854.36
  5. Step 5: Solve for x
    x = 7,854.36/80.48
  6. Step 6: Final answer
    x = 97.59

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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.