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Finding the Fourth Proportional to 29.09, 40.16 and 18.19

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Solution

The fourth proportional to 29.09, 40.16 and 18.19 is: 25.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.09 : 40.16 = 18.19 : x
  2. Step 2: Convert to fraction form
    29.09/40.16 = 18.19/x
  3. Step 3: Cross multiply
    29.09x = 40.16 × 18.19
  4. Step 4: Simplify right side
    29.09x = 730.51
  5. Step 5: Solve for x
    x = 730.51/29.09
  6. Step 6: Final answer
    x = 25.11

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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.