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Finding the Fourth Proportional to 135.22, 201.98 and 128.34

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Solution

The fourth proportional to 135.22, 201.98 and 128.34 is: 191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.22 : 201.98 = 128.34 : x
  2. Step 2: Convert to fraction form
    135.22/201.98 = 128.34/x
  3. Step 3: Cross multiply
    135.22x = 201.98 × 128.34
  4. Step 4: Simplify right side
    135.22x = 25,922.11
  5. Step 5: Solve for x
    x = 25,922.11/135.22
  6. Step 6: Final answer
    x = 191.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.