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Finding the Fourth Proportional to 57.92, 79.86 and 54.39

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Solution

The fourth proportional to 57.92, 79.86 and 54.39 is: 74.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.92 : 79.86 = 54.39 : x
  2. Step 2: Convert to fraction form
    57.92/79.86 = 54.39/x
  3. Step 3: Cross multiply
    57.92x = 79.86 × 54.39
  4. Step 4: Simplify right side
    57.92x = 4,343.71
  5. Step 5: Solve for x
    x = 4,343.71/57.92
  6. Step 6: Final answer
    x = 74.99

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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.