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Finding the Fourth Proportional to 31.84, 47.76 and 21.20

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Solution

The fourth proportional to 31.84, 47.76 and 21.20 is: 31.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.84 : 47.76 = 21.20 : x
  2. Step 2: Convert to fraction form
    31.84/47.76 = 21.20/x
  3. Step 3: Cross multiply
    31.84x = 47.76 × 21.20
  4. Step 4: Simplify right side
    31.84x = 1,012.51
  5. Step 5: Solve for x
    x = 1,012.51/31.84
  6. Step 6: Final answer
    x = 31.80

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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.