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Finding the Fourth Proportional to 21.40, 32.14 and 20.32

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Solution

The fourth proportional to 21.40, 32.14 and 20.32 is: 30.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.40 : 32.14 = 20.32 : x
  2. Step 2: Convert to fraction form
    21.40/32.14 = 20.32/x
  3. Step 3: Cross multiply
    21.40x = 32.14 × 20.32
  4. Step 4: Simplify right side
    21.40x = 653.08
  5. Step 5: Solve for x
    x = 653.08/21.40
  6. Step 6: Final answer
    x = 30.52

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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.