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Finding the Fourth Proportional to 54.75, 82.10 and 24.34

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Solution

The fourth proportional to 54.75, 82.10 and 24.34 is: 36.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 82.10 = 24.34 : x
  2. Step 2: Convert to fraction form
    54.75/82.10 = 24.34/x
  3. Step 3: Cross multiply
    54.75x = 82.10 × 24.34
  4. Step 4: Simplify right side
    54.75x = 1,998.19
  5. Step 5: Solve for x
    x = 1,998.19/54.75
  6. Step 6: Final answer
    x = 36.50

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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.