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Finding the Fourth Proportional to 29.13, 40.20 and 19.42

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Solution

The fourth proportional to 29.13, 40.20 and 19.42 is: 26.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.13 : 40.20 = 19.42 : x
  2. Step 2: Convert to fraction form
    29.13/40.20 = 19.42/x
  3. Step 3: Cross multiply
    29.13x = 40.20 × 19.42
  4. Step 4: Simplify right side
    29.13x = 780.68
  5. Step 5: Solve for x
    x = 780.68/29.13
  6. Step 6: Final answer
    x = 26.80

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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.