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Finding the Fourth Proportional to 135.54, 203.20 and 89.14

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Solution

The fourth proportional to 135.54, 203.20 and 89.14 is: 133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 203.20 = 89.14 : x
  2. Step 2: Convert to fraction form
    135.54/203.20 = 89.14/x
  3. Step 3: Cross multiply
    135.54x = 203.20 × 89.14
  4. Step 4: Simplify right side
    135.54x = 18,113.25
  5. Step 5: Solve for x
    x = 18,113.25/135.54
  6. Step 6: Final answer
    x = 133.64

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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.