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Finding the Fourth Proportional to 54.86, 82.76 and 52.34

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Solution

The fourth proportional to 54.86, 82.76 and 52.34 is: 78.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 82.76 = 52.34 : x
  2. Step 2: Convert to fraction form
    54.86/82.76 = 52.34/x
  3. Step 3: Cross multiply
    54.86x = 82.76 × 52.34
  4. Step 4: Simplify right side
    54.86x = 4,331.38
  5. Step 5: Solve for x
    x = 4,331.38/54.86
  6. Step 6: Final answer
    x = 78.96

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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.