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Finding the Fourth Proportional to 75.89, 114.24 and 68.45

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Solution

The fourth proportional to 75.89, 114.24 and 68.45 is: 103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 114.24 = 68.45 : x
  2. Step 2: Convert to fraction form
    75.89/114.24 = 68.45/x
  3. Step 3: Cross multiply
    75.89x = 114.24 × 68.45
  4. Step 4: Simplify right side
    75.89x = 7,819.16
  5. Step 5: Solve for x
    x = 7,819.16/75.89
  6. Step 6: Final answer
    x = 103.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.