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Finding the Fourth Proportional to 9.06, 13.57 and 7.83

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Solution

The fourth proportional to 9.06, 13.57 and 7.83 is: 11.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.06 : 13.57 = 7.83 : x
  2. Step 2: Convert to fraction form
    9.06/13.57 = 7.83/x
  3. Step 3: Cross multiply
    9.06x = 13.57 × 7.83
  4. Step 4: Simplify right side
    9.06x = 106.23
  5. Step 5: Solve for x
    x = 106.23/9.06
  6. Step 6: Final answer
    x = 11.72

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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.