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Finding the Fourth Proportional to 135.42, 203.10 and 54.24

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Solution

The fourth proportional to 135.42, 203.10 and 54.24 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 203.10 = 54.24 : x
  2. Step 2: Convert to fraction form
    135.42/203.10 = 54.24/x
  3. Step 3: Cross multiply
    135.42x = 203.10 × 54.24
  4. Step 4: Simplify right side
    135.42x = 11,016.14
  5. Step 5: Solve for x
    x = 11,016.14/135.42
  6. Step 6: Final answer
    x = 81.35

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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.