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Finding the Fourth Proportional to 29.09, 40.19 and 21.91

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Solution

The fourth proportional to 29.09, 40.19 and 21.91 is: 30.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.09 : 40.19 = 21.91 : x
  2. Step 2: Convert to fraction form
    29.09/40.19 = 21.91/x
  3. Step 3: Cross multiply
    29.09x = 40.19 × 21.91
  4. Step 4: Simplify right side
    29.09x = 880.25
  5. Step 5: Solve for x
    x = 880.25/29.09
  6. Step 6: Final answer
    x = 30.26

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Why These Related Problems?

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