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Finding the Fourth Proportional to 135.43, 203.04 and 49.87

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Solution

The fourth proportional to 135.43, 203.04 and 49.87 is: 74.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.43 : 203.04 = 49.87 : x
  2. Step 2: Convert to fraction form
    135.43/203.04 = 49.87/x
  3. Step 3: Cross multiply
    135.43x = 203.04 × 49.87
  4. Step 4: Simplify right side
    135.43x = 10,124.46
  5. Step 5: Solve for x
    x = 10,124.46/135.43
  6. Step 6: Final answer
    x = 74.76

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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.