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Finding the Fourth Proportional to 19.69, 29.42 and 15.64

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Solution

The fourth proportional to 19.69, 29.42 and 15.64 is: 23.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.69 : 29.42 = 15.64 : x
  2. Step 2: Convert to fraction form
    19.69/29.42 = 15.64/x
  3. Step 3: Cross multiply
    19.69x = 29.42 × 15.64
  4. Step 4: Simplify right side
    19.69x = 460.13
  5. Step 5: Solve for x
    x = 460.13/19.69
  6. Step 6: Final answer
    x = 23.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.