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Finding the Fourth Proportional to 23.40, 32.34 and 16.14

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Solution

The fourth proportional to 23.40, 32.34 and 16.14 is: 22.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.40 : 32.34 = 16.14 : x
  2. Step 2: Convert to fraction form
    23.40/32.34 = 16.14/x
  3. Step 3: Cross multiply
    23.40x = 32.34 × 16.14
  4. Step 4: Simplify right side
    23.40x = 521.97
  5. Step 5: Solve for x
    x = 521.97/23.40
  6. Step 6: Final answer
    x = 22.31

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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.