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Finding the Fourth Proportional to 9.68, 14.46 and 9.37

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Solution

The fourth proportional to 9.68, 14.46 and 9.37 is: 13.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.68 : 14.46 = 9.37 : x
  2. Step 2: Convert to fraction form
    9.68/14.46 = 9.37/x
  3. Step 3: Cross multiply
    9.68x = 14.46 × 9.37
  4. Step 4: Simplify right side
    9.68x = 135.47
  5. Step 5: Solve for x
    x = 135.47/9.68
  6. Step 6: Final answer
    x = 13.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.