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Finding the Fourth Proportional to 54.28, 74.91 and 32.45

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Solution

The fourth proportional to 54.28, 74.91 and 32.45 is: 44.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.28 : 74.91 = 32.45 : x
  2. Step 2: Convert to fraction form
    54.28/74.91 = 32.45/x
  3. Step 3: Cross multiply
    54.28x = 74.91 × 32.45
  4. Step 4: Simplify right side
    54.28x = 2,430.58
  5. Step 5: Solve for x
    x = 2,430.58/54.28
  6. Step 6: Final answer
    x = 44.78

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