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Finding the Fourth Proportional to 75, 112.54 and 26.92

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Solution

The fourth proportional to 75, 112.54 and 26.92 is: 40.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 112.54 = 26.92 : x
  2. Step 2: Convert to fraction form
    75/112.54 = 26.92/x
  3. Step 3: Cross multiply
    75x = 112.54 × 26.92
  4. Step 4: Simplify right side
    75x = 3,029.58
  5. Step 5: Solve for x
    x = 3,029.58/75
  6. Step 6: Final answer
    x = 40.39

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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.