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Finding the Fourth Proportional to 16.34, 22.54 and 10.19

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Solution

The fourth proportional to 16.34, 22.54 and 10.19 is: 14.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.34 : 22.54 = 10.19 : x
  2. Step 2: Convert to fraction form
    16.34/22.54 = 10.19/x
  3. Step 3: Cross multiply
    16.34x = 22.54 × 10.19
  4. Step 4: Simplify right side
    16.34x = 229.79
  5. Step 5: Solve for x
    x = 229.79/16.34
  6. Step 6: Final answer
    x = 14.07

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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.