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Finding the Fourth Proportional to 9.81, 13.53 and 8.45

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Solution

The fourth proportional to 9.81, 13.53 and 8.45 is: 11.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.81 : 13.53 = 8.45 : x
  2. Step 2: Convert to fraction form
    9.81/13.53 = 8.45/x
  3. Step 3: Cross multiply
    9.81x = 13.53 × 8.45
  4. Step 4: Simplify right side
    9.81x = 114.26
  5. Step 5: Solve for x
    x = 114.26/9.81
  6. Step 6: Final answer
    x = 11.65

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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.