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Finding the Fourth Proportional to 5.09, 7.07 and 5.05

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Solution

The fourth proportional to 5.09, 7.07 and 5.05 is: 7.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.09 : 7.07 = 5.05 : x
  2. Step 2: Convert to fraction form
    5.09/7.07 = 5.05/x
  3. Step 3: Cross multiply
    5.09x = 7.07 × 5.05
  4. Step 4: Simplify right side
    5.09x = 35.67
  5. Step 5: Solve for x
    x = 35.67/5.09
  6. Step 6: Final answer
    x = 7.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.