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Finding the Fourth Proportional to 21.91, 29.99 and 21.31

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Solution

The fourth proportional to 21.91, 29.99 and 21.31 is: 29.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.91 : 29.99 = 21.31 : x
  2. Step 2: Convert to fraction form
    21.91/29.99 = 21.31/x
  3. Step 3: Cross multiply
    21.91x = 29.99 × 21.31
  4. Step 4: Simplify right side
    21.91x = 639.09
  5. Step 5: Solve for x
    x = 639.09/21.91
  6. Step 6: Final answer
    x = 29.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.