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Finding the Fourth Proportional to 19.42, 29.12 and 15.42

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Solution

The fourth proportional to 19.42, 29.12 and 15.42 is: 23.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.42 : 29.12 = 15.42 : x
  2. Step 2: Convert to fraction form
    19.42/29.12 = 15.42/x
  3. Step 3: Cross multiply
    19.42x = 29.12 × 15.42
  4. Step 4: Simplify right side
    19.42x = 449.03
  5. Step 5: Solve for x
    x = 449.03/19.42
  6. Step 6: Final answer
    x = 23.12

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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.