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Finding the Fourth Proportional to 11.36, 15.66 and 7.72

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Solution

The fourth proportional to 11.36, 15.66 and 7.72 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.36 : 15.66 = 7.72 : x
  2. Step 2: Convert to fraction form
    11.36/15.66 = 7.72/x
  3. Step 3: Cross multiply
    11.36x = 15.66 × 7.72
  4. Step 4: Simplify right side
    11.36x = 120.90
  5. Step 5: Solve for x
    x = 120.90/11.36
  6. Step 6: Final answer
    x = 10.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.