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Finding the Fourth Proportional to 75.52, 103.52 and 74.26

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Solution

The fourth proportional to 75.52, 103.52 and 74.26 is: 101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.52 : 103.52 = 74.26 : x
  2. Step 2: Convert to fraction form
    75.52/103.52 = 74.26/x
  3. Step 3: Cross multiply
    75.52x = 103.52 × 74.26
  4. Step 4: Simplify right side
    75.52x = 7,687.40
  5. Step 5: Solve for x
    x = 7,687.40/75.52
  6. Step 6: Final answer
    x = 101.79

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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.