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Finding the Fourth Proportional to 21.12, 31.77 and 19.71

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Solution

The fourth proportional to 21.12, 31.77 and 19.71 is: 29.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.12 : 31.77 = 19.71 : x
  2. Step 2: Convert to fraction form
    21.12/31.77 = 19.71/x
  3. Step 3: Cross multiply
    21.12x = 31.77 × 19.71
  4. Step 4: Simplify right side
    21.12x = 626.19
  5. Step 5: Solve for x
    x = 626.19/21.12
  6. Step 6: Final answer
    x = 29.65

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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.