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Finding the Fourth Proportional to 57.83, 79.77 and 38.19

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Solution

The fourth proportional to 57.83, 79.77 and 38.19 is: 52.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.83 : 79.77 = 38.19 : x
  2. Step 2: Convert to fraction form
    57.83/79.77 = 38.19/x
  3. Step 3: Cross multiply
    57.83x = 79.77 × 38.19
  4. Step 4: Simplify right side
    57.83x = 3,046.42
  5. Step 5: Solve for x
    x = 3,046.42/57.83
  6. Step 6: Final answer
    x = 52.68

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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.