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Finding the Fourth Proportional to 21.56, 32.20 and 16.46

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Solution

The fourth proportional to 21.56, 32.20 and 16.46 is: 24.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.56 : 32.20 = 16.46 : x
  2. Step 2: Convert to fraction form
    21.56/32.20 = 16.46/x
  3. Step 3: Cross multiply
    21.56x = 32.20 × 16.46
  4. Step 4: Simplify right side
    21.56x = 530.01
  5. Step 5: Solve for x
    x = 530.01/21.56
  6. Step 6: Final answer
    x = 24.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.