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Finding the Fourth Proportional to 19.47, 26.78 and 16.16

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Solution

The fourth proportional to 19.47, 26.78 and 16.16 is: 22.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.47 : 26.78 = 16.16 : x
  2. Step 2: Convert to fraction form
    19.47/26.78 = 16.16/x
  3. Step 3: Cross multiply
    19.47x = 26.78 × 16.16
  4. Step 4: Simplify right side
    19.47x = 432.68
  5. Step 5: Solve for x
    x = 432.68/19.47
  6. Step 6: Final answer
    x = 22.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.