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Finding the Fourth Proportional to 57.84, 86.24 and 56.76

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Solution

The fourth proportional to 57.84, 86.24 and 56.76 is: 84.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.84 : 86.24 = 56.76 : x
  2. Step 2: Convert to fraction form
    57.84/86.24 = 56.76/x
  3. Step 3: Cross multiply
    57.84x = 86.24 × 56.76
  4. Step 4: Simplify right side
    57.84x = 4,894.70
  5. Step 5: Solve for x
    x = 4,894.70/57.84
  6. Step 6: Final answer
    x = 84.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.