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Finding the Fourth Proportional to 31.41, 43.37 and 21.72

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Solution

The fourth proportional to 31.41, 43.37 and 21.72 is: 29.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.41 : 43.37 = 21.72 : x
  2. Step 2: Convert to fraction form
    31.41/43.37 = 21.72/x
  3. Step 3: Cross multiply
    31.41x = 43.37 × 21.72
  4. Step 4: Simplify right side
    31.41x = 941.89
  5. Step 5: Solve for x
    x = 941.89/31.41
  6. Step 6: Final answer
    x = 29.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.