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Finding the Fourth Proportional to 10.36, 14.29 and 8.53

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Solution

The fourth proportional to 10.36, 14.29 and 8.53 is: 11.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.36 : 14.29 = 8.53 : x
  2. Step 2: Convert to fraction form
    10.36/14.29 = 8.53/x
  3. Step 3: Cross multiply
    10.36x = 14.29 × 8.53
  4. Step 4: Simplify right side
    10.36x = 121.97
  5. Step 5: Solve for x
    x = 121.97/10.36
  6. Step 6: Final answer
    x = 11.78

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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.