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Finding the Fourth Proportional to 136.53, 188.46 and 120.06

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Solution

The fourth proportional to 136.53, 188.46 and 120.06 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.53 : 188.46 = 120.06 : x
  2. Step 2: Convert to fraction form
    136.53/188.46 = 120.06/x
  3. Step 3: Cross multiply
    136.53x = 188.46 × 120.06
  4. Step 4: Simplify right side
    136.53x = 22,626.51
  5. Step 5: Solve for x
    x = 22,626.51/136.53
  6. Step 6: Final answer
    x = 165.73

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Why These Related Problems?

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