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Finding the Fourth Proportional to 54.02, 74.57 and 32.19

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Solution

The fourth proportional to 54.02, 74.57 and 32.19 is: 44.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.02 : 74.57 = 32.19 : x
  2. Step 2: Convert to fraction form
    54.02/74.57 = 32.19/x
  3. Step 3: Cross multiply
    54.02x = 74.57 × 32.19
  4. Step 4: Simplify right side
    54.02x = 2,400.25
  5. Step 5: Solve for x
    x = 2,400.25/54.02
  6. Step 6: Final answer
    x = 44.44

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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.