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Finding the Fourth Proportional to 23.45, 32.35 and 16.17

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Solution

The fourth proportional to 23.45, 32.35 and 16.17 is: 22.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.45 : 32.35 = 16.17 : x
  2. Step 2: Convert to fraction form
    23.45/32.35 = 16.17/x
  3. Step 3: Cross multiply
    23.45x = 32.35 × 16.17
  4. Step 4: Simplify right side
    23.45x = 523.10
  5. Step 5: Solve for x
    x = 523.10/23.45
  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.