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Finding the Fourth Proportional to 21.68, 32.53 and 8.16

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Solution

The fourth proportional to 21.68, 32.53 and 8.16 is: 12.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.68 : 32.53 = 8.16 : x
  2. Step 2: Convert to fraction form
    21.68/32.53 = 8.16/x
  3. Step 3: Cross multiply
    21.68x = 32.53 × 8.16
  4. Step 4: Simplify right side
    21.68x = 265.32
  5. Step 5: Solve for x
    x = 265.32/21.68
  6. Step 6: Final answer
    x = 12.24

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Why These Related Problems?

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