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Finding the Fourth Proportional to 80.76, 111.40 and 57.45

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Solution

The fourth proportional to 80.76, 111.40 and 57.45 is: 79.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.76 : 111.40 = 57.45 : x
  2. Step 2: Convert to fraction form
    80.76/111.40 = 57.45/x
  3. Step 3: Cross multiply
    80.76x = 111.40 × 57.45
  4. Step 4: Simplify right side
    80.76x = 6,399.93
  5. Step 5: Solve for x
    x = 6,399.93/80.76
  6. Step 6: Final answer
    x = 79.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.