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Finding the Fourth Proportional to 53.52, 73.97 and 42.58

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Solution

The fourth proportional to 53.52, 73.97 and 42.58 is: 58.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 73.97 = 42.58 : x
  2. Step 2: Convert to fraction form
    53.52/73.97 = 42.58/x
  3. Step 3: Cross multiply
    53.52x = 73.97 × 42.58
  4. Step 4: Simplify right side
    53.52x = 3,149.43
  5. Step 5: Solve for x
    x = 3,149.43/53.52
  6. Step 6: Final answer
    x = 58.85

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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.