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Finding the Fourth Proportional to 54.76, 82.16 and 24.34

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Solution

The fourth proportional to 54.76, 82.16 and 24.34 is: 36.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 82.16 = 24.34 : x
  2. Step 2: Convert to fraction form
    54.76/82.16 = 24.34/x
  3. Step 3: Cross multiply
    54.76x = 82.16 × 24.34
  4. Step 4: Simplify right side
    54.76x = 1,999.77
  5. Step 5: Solve for x
    x = 1,999.77/54.76
  6. Step 6: Final answer
    x = 36.52

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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.