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Finding the Fourth Proportional to 21.50, 29.68 and 15.06

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Solution

The fourth proportional to 21.50, 29.68 and 15.06 is: 20.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.50 : 29.68 = 15.06 : x
  2. Step 2: Convert to fraction form
    21.50/29.68 = 15.06/x
  3. Step 3: Cross multiply
    21.50x = 29.68 × 15.06
  4. Step 4: Simplify right side
    21.50x = 446.98
  5. Step 5: Solve for x
    x = 446.98/21.50
  6. Step 6: Final answer
    x = 20.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.