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Finding the Fourth Proportional to 8.06, 11.07 and 7.01

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Solution

The fourth proportional to 8.06, 11.07 and 7.01 is: 9.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 11.07 = 7.01 : x
  2. Step 2: Convert to fraction form
    8.06/11.07 = 7.01/x
  3. Step 3: Cross multiply
    8.06x = 11.07 × 7.01
  4. Step 4: Simplify right side
    8.06x = 77.55
  5. Step 5: Solve for x
    x = 77.55/8.06
  6. Step 6: Final answer
    x = 9.63

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Why These Related Problems?

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