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Finding the Fourth Proportional to 33.04, 45.34 and 31.72

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Solution

The fourth proportional to 33.04, 45.34 and 31.72 is: 43.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.04 : 45.34 = 31.72 : x
  2. Step 2: Convert to fraction form
    33.04/45.34 = 31.72/x
  3. Step 3: Cross multiply
    33.04x = 45.34 × 31.72
  4. Step 4: Simplify right side
    33.04x = 1,438.18
  5. Step 5: Solve for x
    x = 1,438.18/33.04
  6. Step 6: Final answer
    x = 43.53

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