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Finding the Fourth Proportional to 19.45, 29.06 and 16.20

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Solution

The fourth proportional to 19.45, 29.06 and 16.20 is: 24.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.45 : 29.06 = 16.20 : x
  2. Step 2: Convert to fraction form
    19.45/29.06 = 16.20/x
  3. Step 3: Cross multiply
    19.45x = 29.06 × 16.20
  4. Step 4: Simplify right side
    19.45x = 470.69
  5. Step 5: Solve for x
    x = 470.69/19.45
  6. Step 6: Final answer
    x = 24.20

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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.