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Finding the Fourth Proportional to 79.82, 110.16 and 54

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Solution

The fourth proportional to 79.82, 110.16 and 54 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.82 : 110.16 = 54 : x
  2. Step 2: Convert to fraction form
    79.82/110.16 = 54/x
  3. Step 3: Cross multiply
    79.82x = 110.16 × 54
  4. Step 4: Simplify right side
    79.82x = 5,948.64
  5. Step 5: Solve for x
    x = 5,948.64/79.82
  6. Step 6: Final answer
    x = 74.53

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Why These Related Problems?

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