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Finding the Fourth Proportional to 54.46, 75.13 and 32.33

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Solution

The fourth proportional to 54.46, 75.13 and 32.33 is: 44.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.46 : 75.13 = 32.33 : x
  2. Step 2: Convert to fraction form
    54.46/75.13 = 32.33/x
  3. Step 3: Cross multiply
    54.46x = 75.13 × 32.33
  4. Step 4: Simplify right side
    54.46x = 2,428.50
  5. Step 5: Solve for x
    x = 2,428.50/54.46
  6. Step 6: Final answer
    x = 44.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.