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Finding the Fourth Proportional to 19.42, 29.14 and 8.02

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Solution

The fourth proportional to 19.42, 29.14 and 8.02 is: 12.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.42 : 29.14 = 8.02 : x
  2. Step 2: Convert to fraction form
    19.42/29.14 = 8.02/x
  3. Step 3: Cross multiply
    19.42x = 29.14 × 8.02
  4. Step 4: Simplify right side
    19.42x = 233.70
  5. Step 5: Solve for x
    x = 233.70/19.42
  6. Step 6: Final answer
    x = 12.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.