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Finding the Fourth Proportional to 80.12, 110.56 and 45.64

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Solution

The fourth proportional to 80.12, 110.56 and 45.64 is: 62.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.12 : 110.56 = 45.64 : x
  2. Step 2: Convert to fraction form
    80.12/110.56 = 45.64/x
  3. Step 3: Cross multiply
    80.12x = 110.56 × 45.64
  4. Step 4: Simplify right side
    80.12x = 5,045.96
  5. Step 5: Solve for x
    x = 5,045.96/80.12
  6. Step 6: Final answer
    x = 62.98

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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.