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Finding the Fourth Proportional to 15.30, 21.22 and 15.02

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Solution

The fourth proportional to 15.30, 21.22 and 15.02 is: 20.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.30 : 21.22 = 15.02 : x
  2. Step 2: Convert to fraction form
    15.30/21.22 = 15.02/x
  3. Step 3: Cross multiply
    15.30x = 21.22 × 15.02
  4. Step 4: Simplify right side
    15.30x = 318.72
  5. Step 5: Solve for x
    x = 318.72/15.30
  6. Step 6: Final answer
    x = 20.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.