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Finding the Fourth Proportional to 85.20, 117.49 and 54.11

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Solution

The fourth proportional to 85.20, 117.49 and 54.11 is: 74.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.20 : 117.49 = 54.11 : x
  2. Step 2: Convert to fraction form
    85.20/117.49 = 54.11/x
  3. Step 3: Cross multiply
    85.20x = 117.49 × 54.11
  4. Step 4: Simplify right side
    85.20x = 6,357.08
  5. Step 5: Solve for x
    x = 6,357.08/85.20
  6. Step 6: Final answer
    x = 74.61

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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.