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Finding the Fourth Proportional to 75.34, 113.00 and 31.99

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Solution

The fourth proportional to 75.34, 113.00 and 31.99 is: 47.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.34 : 113.00 = 31.99 : x
  2. Step 2: Convert to fraction form
    75.34/113.00 = 31.99/x
  3. Step 3: Cross multiply
    75.34x = 113.00 × 31.99
  4. Step 4: Simplify right side
    75.34x = 3,614.15
  5. Step 5: Solve for x
    x = 3,614.15/75.34
  6. Step 6: Final answer
    x = 47.97

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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.