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Finding the Fourth Proportional to 54.34, 80.99 and 52.72

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Solution

The fourth proportional to 54.34, 80.99 and 52.72 is: 78.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 80.99 = 52.72 : x
  2. Step 2: Convert to fraction form
    54.34/80.99 = 52.72/x
  3. Step 3: Cross multiply
    54.34x = 80.99 × 52.72
  4. Step 4: Simplify right side
    54.34x = 4,269.79
  5. Step 5: Solve for x
    x = 4,269.79/54.34
  6. Step 6: Final answer
    x = 78.58

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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.