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Finding the Fourth Proportional to 10.36, 14.32 and 8.54

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Solution

The fourth proportional to 10.36, 14.32 and 8.54 is: 11.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.36 : 14.32 = 8.54 : x
  2. Step 2: Convert to fraction form
    10.36/14.32 = 8.54/x
  3. Step 3: Cross multiply
    10.36x = 14.32 × 8.54
  4. Step 4: Simplify right side
    10.36x = 122.29
  5. Step 5: Solve for x
    x = 122.29/10.36
  6. Step 6: Final answer
    x = 11.80

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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.