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Finding the Fourth Proportional to 135.75, 203.57 and 49.07

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Solution

The fourth proportional to 135.75, 203.57 and 49.07 is: 73.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 203.57 = 49.07 : x
  2. Step 2: Convert to fraction form
    135.75/203.57 = 49.07/x
  3. Step 3: Cross multiply
    135.75x = 203.57 × 49.07
  4. Step 4: Simplify right side
    135.75x = 9,989.18
  5. Step 5: Solve for x
    x = 9,989.18/135.75
  6. Step 6: Final answer
    x = 73.59

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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.