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Finding the Fourth Proportional to 33.42, 46.13 and 23.74

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Solution

The fourth proportional to 33.42, 46.13 and 23.74 is: 32.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.42 : 46.13 = 23.74 : x
  2. Step 2: Convert to fraction form
    33.42/46.13 = 23.74/x
  3. Step 3: Cross multiply
    33.42x = 46.13 × 23.74
  4. Step 4: Simplify right side
    33.42x = 1,095.13
  5. Step 5: Solve for x
    x = 1,095.13/33.42
  6. Step 6: Final answer
    x = 32.77

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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.