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Finding the Fourth Proportional to 57.79, 79.70 and 42.04

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Solution

The fourth proportional to 57.79, 79.70 and 42.04 is: 57.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.79 : 79.70 = 42.04 : x
  2. Step 2: Convert to fraction form
    57.79/79.70 = 42.04/x
  3. Step 3: Cross multiply
    57.79x = 79.70 × 42.04
  4. Step 4: Simplify right side
    57.79x = 3,350.30
  5. Step 5: Solve for x
    x = 3,350.30/57.79
  6. Step 6: Final answer
    x = 57.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.