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Finding the Fourth Proportional to 57.54, 79.40 and 49.17

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Solution

The fourth proportional to 57.54, 79.40 and 49.17 is: 67.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.54 : 79.40 = 49.17 : x
  2. Step 2: Convert to fraction form
    57.54/79.40 = 49.17/x
  3. Step 3: Cross multiply
    57.54x = 79.40 × 49.17
  4. Step 4: Simplify right side
    57.54x = 3,903.85
  5. Step 5: Solve for x
    x = 3,903.85/57.54
  6. Step 6: Final answer
    x = 67.85

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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.