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Finding the Fourth Proportional to 31.68, 47.32 and 29.84

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Solution

The fourth proportional to 31.68, 47.32 and 29.84 is: 44.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.68 : 47.32 = 29.84 : x
  2. Step 2: Convert to fraction form
    31.68/47.32 = 29.84/x
  3. Step 3: Cross multiply
    31.68x = 47.32 × 29.84
  4. Step 4: Simplify right side
    31.68x = 1,412.03
  5. Step 5: Solve for x
    x = 1,412.03/31.68
  6. Step 6: Final answer
    x = 44.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.