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Finding the Fourth Proportional to 6.00, 9 and 5.05

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Solution

The fourth proportional to 6.00, 9 and 5.05 is: 7.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.00 : 9 = 5.05 : x
  2. Step 2: Convert to fraction form
    6.00/9 = 5.05/x
  3. Step 3: Cross multiply
    6.00x = 9 × 5.05
  4. Step 4: Simplify right side
    6.00x = 45.45
  5. Step 5: Solve for x
    x = 45.45/6.00
  6. Step 6: Final answer
    x = 7.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.