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Finding the Fourth Proportional to 22.98, 34.53 and 21.31

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Solution

The fourth proportional to 22.98, 34.53 and 21.31 is: 32.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.98 : 34.53 = 21.31 : x
  2. Step 2: Convert to fraction form
    22.98/34.53 = 21.31/x
  3. Step 3: Cross multiply
    22.98x = 34.53 × 21.31
  4. Step 4: Simplify right side
    22.98x = 735.83
  5. Step 5: Solve for x
    x = 735.83/22.98
  6. Step 6: Final answer
    x = 32.02

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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.