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Finding the Fourth Proportional to 31.27, 46.89 and 16.06

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Solution

The fourth proportional to 31.27, 46.89 and 16.06 is: 24.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.27 : 46.89 = 16.06 : x
  2. Step 2: Convert to fraction form
    31.27/46.89 = 16.06/x
  3. Step 3: Cross multiply
    31.27x = 46.89 × 16.06
  4. Step 4: Simplify right side
    31.27x = 753.05
  5. Step 5: Solve for x
    x = 753.05/31.27
  6. Step 6: Final answer
    x = 24.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.