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Finding the Fourth Proportional to 75.09, 112.56 and 38.49

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Solution

The fourth proportional to 75.09, 112.56 and 38.49 is: 57.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 112.56 = 38.49 : x
  2. Step 2: Convert to fraction form
    75.09/112.56 = 38.49/x
  3. Step 3: Cross multiply
    75.09x = 112.56 × 38.49
  4. Step 4: Simplify right side
    75.09x = 4,332.50
  5. Step 5: Solve for x
    x = 4,332.50/75.09
  6. Step 6: Final answer
    x = 57.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.