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Finding the Fourth Proportional to 136.83, 188.69 and 120.45

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Solution

The fourth proportional to 136.83, 188.69 and 120.45 is: 166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.83 : 188.69 = 120.45 : x
  2. Step 2: Convert to fraction form
    136.83/188.69 = 120.45/x
  3. Step 3: Cross multiply
    136.83x = 188.69 × 120.45
  4. Step 4: Simplify right side
    136.83x = 22,727.11
  5. Step 5: Solve for x
    x = 22,727.11/136.83
  6. Step 6: Final answer
    x = 166.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.