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Finding the Fourth Proportional to 135.65, 203.24 and 106.94

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Solution

The fourth proportional to 135.65, 203.24 and 106.94 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.65 : 203.24 = 106.94 : x
  2. Step 2: Convert to fraction form
    135.65/203.24 = 106.94/x
  3. Step 3: Cross multiply
    135.65x = 203.24 × 106.94
  4. Step 4: Simplify right side
    135.65x = 21,733.95
  5. Step 5: Solve for x
    x = 21,733.95/135.65
  6. Step 6: Final answer
    x = 160.23

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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.