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Finding the Fourth Proportional to 10.98, 16.45 and 4.97

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Solution

The fourth proportional to 10.98, 16.45 and 4.97 is: 7.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.98 : 16.45 = 4.97 : x
  2. Step 2: Convert to fraction form
    10.98/16.45 = 4.97/x
  3. Step 3: Cross multiply
    10.98x = 16.45 × 4.97
  4. Step 4: Simplify right side
    10.98x = 81.76
  5. Step 5: Solve for x
    x = 81.76/10.98
  6. Step 6: Final answer
    x = 7.45

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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.