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Finding the Fourth Proportional to 10.97, 16.44 and 4.95

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Solution

The fourth proportional to 10.97, 16.44 and 4.95 is: 7.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 16.44 = 4.95 : x
  2. Step 2: Convert to fraction form
    10.97/16.44 = 4.95/x
  3. Step 3: Cross multiply
    10.97x = 16.44 × 4.95
  4. Step 4: Simplify right side
    10.97x = 81.38
  5. Step 5: Solve for x
    x = 81.38/10.97
  6. Step 6: Final answer
    x = 7.42

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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.