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Finding the Fourth Proportional to 54.57, 75.28 and 32.74

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Solution

The fourth proportional to 54.57, 75.28 and 32.74 is: 45.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.57 : 75.28 = 32.74 : x
  2. Step 2: Convert to fraction form
    54.57/75.28 = 32.74/x
  3. Step 3: Cross multiply
    54.57x = 75.28 × 32.74
  4. Step 4: Simplify right side
    54.57x = 2,464.67
  5. Step 5: Solve for x
    x = 2,464.67/54.57
  6. Step 6: Final answer
    x = 45.17

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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.