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Finding the Fourth Proportional to 33.38, 46 and 31.76

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Solution

The fourth proportional to 33.38, 46 and 31.76 is: 43.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.38 : 46 = 31.76 : x
  2. Step 2: Convert to fraction form
    33.38/46 = 31.76/x
  3. Step 3: Cross multiply
    33.38x = 46 × 31.76
  4. Step 4: Simplify right side
    33.38x = 1,460.96
  5. Step 5: Solve for x
    x = 1,460.96/33.38
  6. Step 6: Final answer
    x = 43.77

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1.5x scale

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.