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Finding the Fourth Proportional to 80.66, 111.05 and 56.05

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Solution

The fourth proportional to 80.66, 111.05 and 56.05 is: 77.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.66 : 111.05 = 56.05 : x
  2. Step 2: Convert to fraction form
    80.66/111.05 = 56.05/x
  3. Step 3: Cross multiply
    80.66x = 111.05 × 56.05
  4. Step 4: Simplify right side
    80.66x = 6,224.07
  5. Step 5: Solve for x
    x = 6,224.07/80.66
  6. Step 6: Final answer
    x = 77.17

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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.