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Finding the Fourth Proportional to 53.52, 74.37 and 52.88

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Solution

The fourth proportional to 53.52, 74.37 and 52.88 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 74.37 = 52.88 : x
  2. Step 2: Convert to fraction form
    53.52/74.37 = 52.88/x
  3. Step 3: Cross multiply
    53.52x = 74.37 × 52.88
  4. Step 4: Simplify right side
    53.52x = 3,932.31
  5. Step 5: Solve for x
    x = 3,932.31/53.52
  6. Step 6: Final answer
    x = 73.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.