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Finding the Fourth Proportional to 135.64, 203.43 and 50.14

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Solution

The fourth proportional to 135.64, 203.43 and 50.14 is: 75.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.64 : 203.43 = 50.14 : x
  2. Step 2: Convert to fraction form
    135.64/203.43 = 50.14/x
  3. Step 3: Cross multiply
    135.64x = 203.43 × 50.14
  4. Step 4: Simplify right side
    135.64x = 10,199.98
  5. Step 5: Solve for x
    x = 10,199.98/135.64
  6. Step 6: Final answer
    x = 75.20

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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.