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Finding the Fourth Proportional to 75.14, 112.74 and 31.82

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Solution

The fourth proportional to 75.14, 112.74 and 31.82 is: 47.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.14 : 112.74 = 31.82 : x
  2. Step 2: Convert to fraction form
    75.14/112.74 = 31.82/x
  3. Step 3: Cross multiply
    75.14x = 112.74 × 31.82
  4. Step 4: Simplify right side
    75.14x = 3,587.37
  5. Step 5: Solve for x
    x = 3,587.37/75.14
  6. Step 6: Final answer
    x = 47.74

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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.