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Finding the Fourth Proportional to 135.66, 203.56 and 97.15

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Solution

The fourth proportional to 135.66, 203.56 and 97.15 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.66 : 203.56 = 97.15 : x
  2. Step 2: Convert to fraction form
    135.66/203.56 = 97.15/x
  3. Step 3: Cross multiply
    135.66x = 203.56 × 97.15
  4. Step 4: Simplify right side
    135.66x = 19,775.85
  5. Step 5: Solve for x
    x = 19,775.85/135.66
  6. Step 6: Final answer
    x = 145.78

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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.