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Finding the Fourth Proportional to 75.30, 112.96 and 31.99

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Solution

The fourth proportional to 75.30, 112.96 and 31.99 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.30 : 112.96 = 31.99 : x
  2. Step 2: Convert to fraction form
    75.30/112.96 = 31.99/x
  3. Step 3: Cross multiply
    75.30x = 112.96 × 31.99
  4. Step 4: Simplify right side
    75.30x = 3,613.59
  5. Step 5: Solve for x
    x = 3,613.59/75.30
  6. Step 6: Final answer
    x = 47.99

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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.