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Finding the Fourth Proportional to 79.82, 110.12 and 55.25

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Solution

The fourth proportional to 79.82, 110.12 and 55.25 is: 76.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.82 : 110.12 = 55.25 : x
  2. Step 2: Convert to fraction form
    79.82/110.12 = 55.25/x
  3. Step 3: Cross multiply
    79.82x = 110.12 × 55.25
  4. Step 4: Simplify right side
    79.82x = 6,084.13
  5. Step 5: Solve for x
    x = 6,084.13/79.82
  6. Step 6: Final answer
    x = 76.22

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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.