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Finding the Fourth Proportional to 9.82, 14.67 and 9.80

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Solution

The fourth proportional to 9.82, 14.67 and 9.80 is: 14.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.82 : 14.67 = 9.80 : x
  2. Step 2: Convert to fraction form
    9.82/14.67 = 9.80/x
  3. Step 3: Cross multiply
    9.82x = 14.67 × 9.80
  4. Step 4: Simplify right side
    9.82x = 143.77
  5. Step 5: Solve for x
    x = 143.77/9.82
  6. Step 6: Final answer
    x = 14.64

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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.