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Finding the Fourth Proportional to 23.23, 32.04 and 14.48

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Solution

The fourth proportional to 23.23, 32.04 and 14.48 is: 19.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.23 : 32.04 = 14.48 : x
  2. Step 2: Convert to fraction form
    23.23/32.04 = 14.48/x
  3. Step 3: Cross multiply
    23.23x = 32.04 × 14.48
  4. Step 4: Simplify right side
    23.23x = 463.94
  5. Step 5: Solve for x
    x = 463.94/23.23
  6. Step 6: Final answer
    x = 19.98

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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.