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Finding the Fourth Proportional to 31.89, 47.80 and 21.06

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Solution

The fourth proportional to 31.89, 47.80 and 21.06 is: 31.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.89 : 47.80 = 21.06 : x
  2. Step 2: Convert to fraction form
    31.89/47.80 = 21.06/x
  3. Step 3: Cross multiply
    31.89x = 47.80 × 21.06
  4. Step 4: Simplify right side
    31.89x = 1,006.67
  5. Step 5: Solve for x
    x = 1,006.67/31.89
  6. Step 6: Final answer
    x = 31.57

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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.