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Finding the Fourth Proportional to 54.29, 74.90 and 38.74

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Solution

The fourth proportional to 54.29, 74.90 and 38.74 is: 53.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.29 : 74.90 = 38.74 : x
  2. Step 2: Convert to fraction form
    54.29/74.90 = 38.74/x
  3. Step 3: Cross multiply
    54.29x = 74.90 × 38.74
  4. Step 4: Simplify right side
    54.29x = 2,901.63
  5. Step 5: Solve for x
    x = 2,901.63/54.29
  6. Step 6: Final answer
    x = 53.45

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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.