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Finding the Fourth Proportional to 54.34, 74.96 and 38.02

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Solution

The fourth proportional to 54.34, 74.96 and 38.02 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 74.96 = 38.02 : x
  2. Step 2: Convert to fraction form
    54.34/74.96 = 38.02/x
  3. Step 3: Cross multiply
    54.34x = 74.96 × 38.02
  4. Step 4: Simplify right side
    54.34x = 2,849.98
  5. Step 5: Solve for x
    x = 2,849.98/54.34
  6. Step 6: Final answer
    x = 52.45

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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.