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Finding the Fourth Proportional to 135.64, 203.15 and 89.97

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Solution

The fourth proportional to 135.64, 203.15 and 89.97 is: 134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.64 : 203.15 = 89.97 : x
  2. Step 2: Convert to fraction form
    135.64/203.15 = 89.97/x
  3. Step 3: Cross multiply
    135.64x = 203.15 × 89.97
  4. Step 4: Simplify right side
    135.64x = 18,277.41
  5. Step 5: Solve for x
    x = 18,277.41/135.64
  6. Step 6: Final answer
    x = 134.75

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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.