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Finding the Fourth Proportional to 9.81, 14.69 and 5.81

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Solution

The fourth proportional to 9.81, 14.69 and 5.81 is: 8.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.81 : 14.69 = 5.81 : x
  2. Step 2: Convert to fraction form
    9.81/14.69 = 5.81/x
  3. Step 3: Cross multiply
    9.81x = 14.69 × 5.81
  4. Step 4: Simplify right side
    9.81x = 85.25
  5. Step 5: Solve for x
    x = 85.25/9.81
  6. Step 6: Final answer
    x = 8.69

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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.