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Finding the Fourth Proportional to 135.31, 201.70 and 134.10

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Solution

The fourth proportional to 135.31, 201.70 and 134.10 is: 199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.31 : 201.70 = 134.10 : x
  2. Step 2: Convert to fraction form
    135.31/201.70 = 134.10/x
  3. Step 3: Cross multiply
    135.31x = 201.70 × 134.10
  4. Step 4: Simplify right side
    135.31x = 27,047.97
  5. Step 5: Solve for x
    x = 27,047.97/135.31
  6. Step 6: Final answer
    x = 199.90

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Why These Related Problems?

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