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Finding the Fourth Proportional to 75.39, 113.65 and 63.44

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Solution

The fourth proportional to 75.39, 113.65 and 63.44 is: 95.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.39 : 113.65 = 63.44 : x
  2. Step 2: Convert to fraction form
    75.39/113.65 = 63.44/x
  3. Step 3: Cross multiply
    75.39x = 113.65 × 63.44
  4. Step 4: Simplify right side
    75.39x = 7,209.96
  5. Step 5: Solve for x
    x = 7,209.96/75.39
  6. Step 6: Final answer
    x = 95.64

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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.