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Finding the Fourth Proportional to 62.92, 86.37 and 56.78

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Solution

The fourth proportional to 62.92, 86.37 and 56.78 is: 77.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.92 : 86.37 = 56.78 : x
  2. Step 2: Convert to fraction form
    62.92/86.37 = 56.78/x
  3. Step 3: Cross multiply
    62.92x = 86.37 × 56.78
  4. Step 4: Simplify right side
    62.92x = 4,904.09
  5. Step 5: Solve for x
    x = 4,904.09/62.92
  6. Step 6: Final answer
    x = 77.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.