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Finding the Fourth Proportional to 54.24, 74.72 and 37.84

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Solution

The fourth proportional to 54.24, 74.72 and 37.84 is: 52.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.24 : 74.72 = 37.84 : x
  2. Step 2: Convert to fraction form
    54.24/74.72 = 37.84/x
  3. Step 3: Cross multiply
    54.24x = 74.72 × 37.84
  4. Step 4: Simplify right side
    54.24x = 2,827.40
  5. Step 5: Solve for x
    x = 2,827.40/54.24
  6. Step 6: Final answer
    x = 52.13

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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.