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Finding the Fourth Proportional to 33.53, 46.31 and 31.50

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Solution

The fourth proportional to 33.53, 46.31 and 31.50 is: 43.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.53 : 46.31 = 31.50 : x
  2. Step 2: Convert to fraction form
    33.53/46.31 = 31.50/x
  3. Step 3: Cross multiply
    33.53x = 46.31 × 31.50
  4. Step 4: Simplify right side
    33.53x = 1,458.61
  5. Step 5: Solve for x
    x = 1,458.61/33.53
  6. Step 6: Final answer
    x = 43.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.