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Finding the Fourth Proportional to 21.84, 32.72 and 11.16

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Solution

The fourth proportional to 21.84, 32.72 and 11.16 is: 16.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 32.72 = 11.16 : x
  2. Step 2: Convert to fraction form
    21.84/32.72 = 11.16/x
  3. Step 3: Cross multiply
    21.84x = 32.72 × 11.16
  4. Step 4: Simplify right side
    21.84x = 365.16
  5. Step 5: Solve for x
    x = 365.16/21.84
  6. Step 6: Final answer
    x = 16.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.