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Finding the Fourth Proportional to 135.47, 203.24 and 54.34

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Solution

The fourth proportional to 135.47, 203.24 and 54.34 is: 81.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.47 : 203.24 = 54.34 : x
  2. Step 2: Convert to fraction form
    135.47/203.24 = 54.34/x
  3. Step 3: Cross multiply
    135.47x = 203.24 × 54.34
  4. Step 4: Simplify right side
    135.47x = 11,043.69
  5. Step 5: Solve for x
    x = 11,043.69/135.47
  6. Step 6: Final answer
    x = 81.52

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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.