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Finding the Fourth Proportional to 33.24, 45.60 and 31.71

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Solution

The fourth proportional to 33.24, 45.60 and 31.71 is: 43.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.24 : 45.60 = 31.71 : x
  2. Step 2: Convert to fraction form
    33.24/45.60 = 31.71/x
  3. Step 3: Cross multiply
    33.24x = 45.60 × 31.71
  4. Step 4: Simplify right side
    33.24x = 1,445.98
  5. Step 5: Solve for x
    x = 1,445.98/33.24
  6. Step 6: Final answer
    x = 43.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.