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Finding the Fourth Proportional to 57.24, 79.11 and 54.16

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Solution

The fourth proportional to 57.24, 79.11 and 54.16 is: 74.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.24 : 79.11 = 54.16 : x
  2. Step 2: Convert to fraction form
    57.24/79.11 = 54.16/x
  3. Step 3: Cross multiply
    57.24x = 79.11 × 54.16
  4. Step 4: Simplify right side
    57.24x = 4,284.67
  5. Step 5: Solve for x
    x = 4,284.67/57.24
  6. Step 6: Final answer
    x = 74.86

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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.