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Finding the Fourth Proportional to 10.98, 16.40 and 8.30

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Solution

The fourth proportional to 10.98, 16.40 and 8.30 is: 12.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.98 : 16.40 = 8.30 : x
  2. Step 2: Convert to fraction form
    10.98/16.40 = 8.30/x
  3. Step 3: Cross multiply
    10.98x = 16.40 × 8.30
  4. Step 4: Simplify right side
    10.98x = 136.12
  5. Step 5: Solve for x
    x = 136.12/10.98
  6. Step 6: Final answer
    x = 12.40

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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.