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Finding the Fourth Proportional to 15.85, 23.73 and 9.81

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Solution

The fourth proportional to 15.85, 23.73 and 9.81 is: 14.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.85 : 23.73 = 9.81 : x
  2. Step 2: Convert to fraction form
    15.85/23.73 = 9.81/x
  3. Step 3: Cross multiply
    15.85x = 23.73 × 9.81
  4. Step 4: Simplify right side
    15.85x = 232.79
  5. Step 5: Solve for x
    x = 232.79/15.85
  6. Step 6: Final answer
    x = 14.69

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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.