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Finding the Fourth Proportional to 33.04, 45.48 and 31.27

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Solution

The fourth proportional to 33.04, 45.48 and 31.27 is: 43.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.04 : 45.48 = 31.27 : x
  2. Step 2: Convert to fraction form
    33.04/45.48 = 31.27/x
  3. Step 3: Cross multiply
    33.04x = 45.48 × 31.27
  4. Step 4: Simplify right side
    33.04x = 1,422.16
  5. Step 5: Solve for x
    x = 1,422.16/33.04
  6. Step 6: Final answer
    x = 43.04

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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.