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Finding the Fourth Proportional to 21.45, 32.02 and 19.81

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Solution

The fourth proportional to 21.45, 32.02 and 19.81 is: 29.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.45 : 32.02 = 19.81 : x
  2. Step 2: Convert to fraction form
    21.45/32.02 = 19.81/x
  3. Step 3: Cross multiply
    21.45x = 32.02 × 19.81
  4. Step 4: Simplify right side
    21.45x = 634.32
  5. Step 5: Solve for x
    x = 634.32/21.45
  6. Step 6: Final answer
    x = 29.57

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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.