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Finding the Fourth Proportional to 21.46, 32.31 and 16.67

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Solution

The fourth proportional to 21.46, 32.31 and 16.67 is: 25.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.46 : 32.31 = 16.67 : x
  2. Step 2: Convert to fraction form
    21.46/32.31 = 16.67/x
  3. Step 3: Cross multiply
    21.46x = 32.31 × 16.67
  4. Step 4: Simplify right side
    21.46x = 538.61
  5. Step 5: Solve for x
    x = 538.61/21.46
  6. Step 6: Final answer
    x = 25.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.