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Finding the Fourth Proportional to 19.40, 29.07 and 10.84

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Solution

The fourth proportional to 19.40, 29.07 and 10.84 is: 16.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.40 : 29.07 = 10.84 : x
  2. Step 2: Convert to fraction form
    19.40/29.07 = 10.84/x
  3. Step 3: Cross multiply
    19.40x = 29.07 × 10.84
  4. Step 4: Simplify right side
    19.40x = 314.97
  5. Step 5: Solve for x
    x = 314.97/19.40
  6. Step 6: Final answer
    x = 16.24

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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.