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Finding the Fourth Proportional to 54.71, 82.10 and 52.54

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Solution

The fourth proportional to 54.71, 82.10 and 52.54 is: 78.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.71 : 82.10 = 52.54 : x
  2. Step 2: Convert to fraction form
    54.71/82.10 = 52.54/x
  3. Step 3: Cross multiply
    54.71x = 82.10 × 52.54
  4. Step 4: Simplify right side
    54.71x = 4,313.53
  5. Step 5: Solve for x
    x = 4,313.53/54.71
  6. Step 6: Final answer
    x = 78.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.