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Finding the Fourth Proportional to 113.82, 170.71 and 32.64

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Solution

The fourth proportional to 113.82, 170.71 and 32.64 is: 48.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 170.71 = 32.64 : x
  2. Step 2: Convert to fraction form
    113.82/170.71 = 32.64/x
  3. Step 3: Cross multiply
    113.82x = 170.71 × 32.64
  4. Step 4: Simplify right side
    113.82x = 5,572.66
  5. Step 5: Solve for x
    x = 5,572.66/113.82
  6. Step 6: Final answer
    x = 48.96

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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.