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Finding the Fourth Proportional to 136.34, 187.06 and 132.89

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Solution

The fourth proportional to 136.34, 187.06 and 132.89 is: 182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.34 : 187.06 = 132.89 : x
  2. Step 2: Convert to fraction form
    136.34/187.06 = 132.89/x
  3. Step 3: Cross multiply
    136.34x = 187.06 × 132.89
  4. Step 4: Simplify right side
    136.34x = 24,858.40
  5. Step 5: Solve for x
    x = 24,858.40/136.34
  6. Step 6: Final answer
    x = 182.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.