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Finding the Fourth Proportional to 5.05, 6.91 and 5.03

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Solution

The fourth proportional to 5.05, 6.91 and 5.03 is: 6.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.05 : 6.91 = 5.03 : x
  2. Step 2: Convert to fraction form
    5.05/6.91 = 5.03/x
  3. Step 3: Cross multiply
    5.05x = 6.91 × 5.03
  4. Step 4: Simplify right side
    5.05x = 34.76
  5. Step 5: Solve for x
    x = 34.76/5.05
  6. Step 6: Final answer
    x = 6.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.