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Finding the Fourth Proportional to 7.56, 11.36 and 6.06

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Solution

The fourth proportional to 7.56, 11.36 and 6.06 is: 9.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.56 : 11.36 = 6.06 : x
  2. Step 2: Convert to fraction form
    7.56/11.36 = 6.06/x
  3. Step 3: Cross multiply
    7.56x = 11.36 × 6.06
  4. Step 4: Simplify right side
    7.56x = 68.84
  5. Step 5: Solve for x
    x = 68.84/7.56
  6. Step 6: Final answer
    x = 9.11

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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.