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Finding the Fourth Proportional to 116.82, 175.23 and 31.32

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Solution

The fourth proportional to 116.82, 175.23 and 31.32 is: 46.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.82 : 175.23 = 31.32 : x
  2. Step 2: Convert to fraction form
    116.82/175.23 = 31.32/x
  3. Step 3: Cross multiply
    116.82x = 175.23 × 31.32
  4. Step 4: Simplify right side
    116.82x = 5,488.20
  5. Step 5: Solve for x
    x = 5,488.20/116.82
  6. Step 6: Final answer
    x = 46.98

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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.