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Finding the Fourth Proportional to 75.15, 112.77 and 31.84

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Solution

The fourth proportional to 75.15, 112.77 and 31.84 is: 47.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.15 : 112.77 = 31.84 : x
  2. Step 2: Convert to fraction form
    75.15/112.77 = 31.84/x
  3. Step 3: Cross multiply
    75.15x = 112.77 × 31.84
  4. Step 4: Simplify right side
    75.15x = 3,590.31
  5. Step 5: Solve for x
    x = 3,590.31/75.15
  6. Step 6: Final answer
    x = 47.78

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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.