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Finding the Fourth Proportional to 54.52, 74.71 and 52.28

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Solution

The fourth proportional to 54.52, 74.71 and 52.28 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.52 : 74.71 = 52.28 : x
  2. Step 2: Convert to fraction form
    54.52/74.71 = 52.28/x
  3. Step 3: Cross multiply
    54.52x = 74.71 × 52.28
  4. Step 4: Simplify right side
    54.52x = 3,905.84
  5. Step 5: Solve for x
    x = 3,905.84/54.52
  6. Step 6: Final answer
    x = 71.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.