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Finding the Fourth Proportional to 135.02, 201.70 and 108.02

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Solution

The fourth proportional to 135.02, 201.70 and 108.02 is: 161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.02 : 201.70 = 108.02 : x
  2. Step 2: Convert to fraction form
    135.02/201.70 = 108.02/x
  3. Step 3: Cross multiply
    135.02x = 201.70 × 108.02
  4. Step 4: Simplify right side
    135.02x = 21,787.63
  5. Step 5: Solve for x
    x = 21,787.63/135.02
  6. Step 6: Final answer
    x = 161.37

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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.