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Finding the Fourth Proportional to 8.98, 13.53 and 8.24

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Solution

The fourth proportional to 8.98, 13.53 and 8.24 is: 12.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.98 : 13.53 = 8.24 : x
  2. Step 2: Convert to fraction form
    8.98/13.53 = 8.24/x
  3. Step 3: Cross multiply
    8.98x = 13.53 × 8.24
  4. Step 4: Simplify right side
    8.98x = 111.49
  5. Step 5: Solve for x
    x = 111.49/8.98
  6. Step 6: Final answer
    x = 12.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.