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Finding the Fourth Proportional to 135.24, 202.91 and 54.14

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Solution

The fourth proportional to 135.24, 202.91 and 54.14 is: 81.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.24 : 202.91 = 54.14 : x
  2. Step 2: Convert to fraction form
    135.24/202.91 = 54.14/x
  3. Step 3: Cross multiply
    135.24x = 202.91 × 54.14
  4. Step 4: Simplify right side
    135.24x = 10,985.97
  5. Step 5: Solve for x
    x = 10,985.97/135.24
  6. Step 6: Final answer
    x = 81.23

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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.