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Finding the Fourth Proportional to 9.88, 13.66 and 9.56

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Solution

The fourth proportional to 9.88, 13.66 and 9.56 is: 13.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.88 : 13.66 = 9.56 : x
  2. Step 2: Convert to fraction form
    9.88/13.66 = 9.56/x
  3. Step 3: Cross multiply
    9.88x = 13.66 × 9.56
  4. Step 4: Simplify right side
    9.88x = 130.59
  5. Step 5: Solve for x
    x = 130.59/9.88
  6. Step 6: Final answer
    x = 13.22

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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.