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Finding the Fourth Proportional to 135.83, 203.68 and 49.16

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Solution

The fourth proportional to 135.83, 203.68 and 49.16 is: 73.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.83 : 203.68 = 49.16 : x
  2. Step 2: Convert to fraction form
    135.83/203.68 = 49.16/x
  3. Step 3: Cross multiply
    135.83x = 203.68 × 49.16
  4. Step 4: Simplify right side
    135.83x = 10,012.13
  5. Step 5: Solve for x
    x = 10,012.13/135.83
  6. Step 6: Final answer
    x = 73.71

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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.