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Finding the Fourth Proportional to 5.34, 7.97 and 5.09

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Solution

The fourth proportional to 5.34, 7.97 and 5.09 is: 7.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 7.97 = 5.09 : x
  2. Step 2: Convert to fraction form
    5.34/7.97 = 5.09/x
  3. Step 3: Cross multiply
    5.34x = 7.97 × 5.09
  4. Step 4: Simplify right side
    5.34x = 40.57
  5. Step 5: Solve for x
    x = 40.57/5.34
  6. Step 6: Final answer
    x = 7.60

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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.