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Finding the Fourth Proportional to 135.34, 203.06 and 106.54

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Solution

The fourth proportional to 135.34, 203.06 and 106.54 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.34 : 203.06 = 106.54 : x
  2. Step 2: Convert to fraction form
    135.34/203.06 = 106.54/x
  3. Step 3: Cross multiply
    135.34x = 203.06 × 106.54
  4. Step 4: Simplify right side
    135.34x = 21,634.01
  5. Step 5: Solve for x
    x = 21,634.01/135.34
  6. Step 6: Final answer
    x = 159.85

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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.