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Finding the Fourth Proportional to 5.98, 8.24 and 4.90

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Solution

The fourth proportional to 5.98, 8.24 and 4.90 is: 6.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.98 : 8.24 = 4.90 : x
  2. Step 2: Convert to fraction form
    5.98/8.24 = 4.90/x
  3. Step 3: Cross multiply
    5.98x = 8.24 × 4.90
  4. Step 4: Simplify right side
    5.98x = 40.38
  5. Step 5: Solve for x
    x = 40.38/5.98
  6. Step 6: Final answer
    x = 6.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.