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Finding the Fourth Proportional to 134.61, 200.88 and 120.05

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Solution

The fourth proportional to 134.61, 200.88 and 120.05 is: 179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.61 : 200.88 = 120.05 : x
  2. Step 2: Convert to fraction form
    134.61/200.88 = 120.05/x
  3. Step 3: Cross multiply
    134.61x = 200.88 × 120.05
  4. Step 4: Simplify right side
    134.61x = 24,115.19
  5. Step 5: Solve for x
    x = 24,115.19/134.61
  6. Step 6: Final answer
    x = 179.15

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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.