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Finding the Fourth Proportional to 5.09, 7.68 and 5.01

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Solution

The fourth proportional to 5.09, 7.68 and 5.01 is: 7.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.09 : 7.68 = 5.01 : x
  2. Step 2: Convert to fraction form
    5.09/7.68 = 5.01/x
  3. Step 3: Cross multiply
    5.09x = 7.68 × 5.01
  4. Step 4: Simplify right side
    5.09x = 38.48
  5. Step 5: Solve for x
    x = 38.48/5.09
  6. Step 6: Final answer
    x = 7.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.