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Finding the Fourth Proportional to 75.68, 103.76 and 74.31

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Solution

The fourth proportional to 75.68, 103.76 and 74.31 is: 101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.68 : 103.76 = 74.31 : x
  2. Step 2: Convert to fraction form
    75.68/103.76 = 74.31/x
  3. Step 3: Cross multiply
    75.68x = 103.76 × 74.31
  4. Step 4: Simplify right side
    75.68x = 7,710.56
  5. Step 5: Solve for x
    x = 7,710.56/75.68
  6. Step 6: Final answer
    x = 101.88

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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.