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Finding the Fourth Proportional to 57.92, 79.94 and 42.40

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Solution

The fourth proportional to 57.92, 79.94 and 42.40 is: 58.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.92 : 79.94 = 42.40 : x
  2. Step 2: Convert to fraction form
    57.92/79.94 = 42.40/x
  3. Step 3: Cross multiply
    57.92x = 79.94 × 42.40
  4. Step 4: Simplify right side
    57.92x = 3,389.46
  5. Step 5: Solve for x
    x = 3,389.46/57.92
  6. Step 6: Final answer
    x = 58.52

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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.