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Finding the Fourth Proportional to 57.86, 79.81 and 49.93

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Solution

The fourth proportional to 57.86, 79.81 and 49.93 is: 68.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.86 : 79.81 = 49.93 : x
  2. Step 2: Convert to fraction form
    57.86/79.81 = 49.93/x
  3. Step 3: Cross multiply
    57.86x = 79.81 × 49.93
  4. Step 4: Simplify right side
    57.86x = 3,984.84
  5. Step 5: Solve for x
    x = 3,984.84/57.86
  6. Step 6: Final answer
    x = 68.87

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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.