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Finding the Fourth Proportional to 135.21, 201.71 and 120.58

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Solution

The fourth proportional to 135.21, 201.71 and 120.58 is: 179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.21 : 201.71 = 120.58 : x
  2. Step 2: Convert to fraction form
    135.21/201.71 = 120.58/x
  3. Step 3: Cross multiply
    135.21x = 201.71 × 120.58
  4. Step 4: Simplify right side
    135.21x = 24,322.19
  5. Step 5: Solve for x
    x = 24,322.19/135.21
  6. Step 6: Final answer
    x = 179.88

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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.