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Finding the Fourth Proportional to 23.32, 32.17 and 16.84

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Solution

The fourth proportional to 23.32, 32.17 and 16.84 is: 23.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.32 : 32.17 = 16.84 : x
  2. Step 2: Convert to fraction form
    23.32/32.17 = 16.84/x
  3. Step 3: Cross multiply
    23.32x = 32.17 × 16.84
  4. Step 4: Simplify right side
    23.32x = 541.74
  5. Step 5: Solve for x
    x = 541.74/23.32
  6. Step 6: Final answer
    x = 23.23

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