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Finding the Fourth Proportional to 21.40, 32.02 and 14.62

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Solution

The fourth proportional to 21.40, 32.02 and 14.62 is: 21.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.40 : 32.02 = 14.62 : x
  2. Step 2: Convert to fraction form
    21.40/32.02 = 14.62/x
  3. Step 3: Cross multiply
    21.40x = 32.02 × 14.62
  4. Step 4: Simplify right side
    21.40x = 468.13
  5. Step 5: Solve for x
    x = 468.13/21.40
  6. Step 6: Final answer
    x = 21.88

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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.