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Finding the Fourth Proportional to 113.00, 169.46 and 31.84

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Solution

The fourth proportional to 113.00, 169.46 and 31.84 is: 47.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.00 : 169.46 = 31.84 : x
  2. Step 2: Convert to fraction form
    113.00/169.46 = 31.84/x
  3. Step 3: Cross multiply
    113.00x = 169.46 × 31.84
  4. Step 4: Simplify right side
    113.00x = 5,395.14
  5. Step 5: Solve for x
    x = 5,395.14/113.00
  6. Step 6: Final answer
    x = 47.75

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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.