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Finding the Fourth Proportional to 6.60, 9.91 and 4.07

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Solution

The fourth proportional to 6.60, 9.91 and 4.07 is: 6.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.60 : 9.91 = 4.07 : x
  2. Step 2: Convert to fraction form
    6.60/9.91 = 4.07/x
  3. Step 3: Cross multiply
    6.60x = 9.91 × 4.07
  4. Step 4: Simplify right side
    6.60x = 40.33
  5. Step 5: Solve for x
    x = 40.33/6.60
  6. Step 6: Final answer
    x = 6.11

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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.