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Finding the Fourth Proportional to 75.08, 112.09 and 68.24

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Solution

The fourth proportional to 75.08, 112.09 and 68.24 is: 101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.08 : 112.09 = 68.24 : x
  2. Step 2: Convert to fraction form
    75.08/112.09 = 68.24/x
  3. Step 3: Cross multiply
    75.08x = 112.09 × 68.24
  4. Step 4: Simplify right side
    75.08x = 7,649.02
  5. Step 5: Solve for x
    x = 7,649.02/75.08
  6. Step 6: Final answer
    x = 101.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.