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Finding the Fourth Proportional to 33.46, 46.14 and 29.35

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Solution

The fourth proportional to 33.46, 46.14 and 29.35 is: 40.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.46 : 46.14 = 29.35 : x
  2. Step 2: Convert to fraction form
    33.46/46.14 = 29.35/x
  3. Step 3: Cross multiply
    33.46x = 46.14 × 29.35
  4. Step 4: Simplify right side
    33.46x = 1,354.21
  5. Step 5: Solve for x
    x = 1,354.21/33.46
  6. Step 6: Final answer
    x = 40.47

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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.