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Finding the Fourth Proportional to 135.32, 202.98 and 54.14

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Solution

The fourth proportional to 135.32, 202.98 and 54.14 is: 81.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.32 : 202.98 = 54.14 : x
  2. Step 2: Convert to fraction form
    135.32/202.98 = 54.14/x
  3. Step 3: Cross multiply
    135.32x = 202.98 × 54.14
  4. Step 4: Simplify right side
    135.32x = 10,990.09
  5. Step 5: Solve for x
    x = 10,990.09/135.32
  6. Step 6: Final answer
    x = 81.22

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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.