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Finding the Fourth Proportional to 135.68, 203.47 and 53.38

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Solution

The fourth proportional to 135.68, 203.47 and 53.38 is: 80.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.68 : 203.47 = 53.38 : x
  2. Step 2: Convert to fraction form
    135.68/203.47 = 53.38/x
  3. Step 3: Cross multiply
    135.68x = 203.47 × 53.38
  4. Step 4: Simplify right side
    135.68x = 10,859.94
  5. Step 5: Solve for x
    x = 10,859.94/135.68
  6. Step 6: Final answer
    x = 80.04

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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.