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Finding the Fourth Proportional to 33.38, 45.76 and 32.84

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Solution

The fourth proportional to 33.38, 45.76 and 32.84 is: 45.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.38 : 45.76 = 32.84 : x
  2. Step 2: Convert to fraction form
    33.38/45.76 = 32.84/x
  3. Step 3: Cross multiply
    33.38x = 45.76 × 32.84
  4. Step 4: Simplify right side
    33.38x = 1,502.76
  5. Step 5: Solve for x
    x = 1,502.76/33.38
  6. Step 6: Final answer
    x = 45.02

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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.