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Finding the Fourth Proportional to 33.46, 46.16 and 23.08

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Solution

The fourth proportional to 33.46, 46.16 and 23.08 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.46 : 46.16 = 23.08 : x
  2. Step 2: Convert to fraction form
    33.46/46.16 = 23.08/x
  3. Step 3: Cross multiply
    33.46x = 46.16 × 23.08
  4. Step 4: Simplify right side
    33.46x = 1,065.26
  5. Step 5: Solve for x
    x = 1,065.26/33.46
  6. Step 6: Final answer
    x = 31.84

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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.