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Finding the Fourth Proportional to 80.87, 111.65 and 56.36

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Solution

The fourth proportional to 80.87, 111.65 and 56.36 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.87 : 111.65 = 56.36 : x
  2. Step 2: Convert to fraction form
    80.87/111.65 = 56.36/x
  3. Step 3: Cross multiply
    80.87x = 111.65 × 56.36
  4. Step 4: Simplify right side
    80.87x = 6,292.59
  5. Step 5: Solve for x
    x = 6,292.59/80.87
  6. Step 6: Final answer
    x = 77.82

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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.