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Finding the Fourth Proportional to 57.84, 87.24 and 49.86

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Solution

The fourth proportional to 57.84, 87.24 and 49.86 is: 75.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.84 : 87.24 = 49.86 : x
  2. Step 2: Convert to fraction form
    57.84/87.24 = 49.86/x
  3. Step 3: Cross multiply
    57.84x = 87.24 × 49.86
  4. Step 4: Simplify right side
    57.84x = 4,349.79
  5. Step 5: Solve for x
    x = 4,349.79/57.84
  6. Step 6: Final answer
    x = 75.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.