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Finding the Fourth Proportional to 136.14, 187.63 and 106.58

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Solution

The fourth proportional to 136.14, 187.63 and 106.58 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.14 : 187.63 = 106.58 : x
  2. Step 2: Convert to fraction form
    136.14/187.63 = 106.58/x
  3. Step 3: Cross multiply
    136.14x = 187.63 × 106.58
  4. Step 4: Simplify right side
    136.14x = 19,997.61
  5. Step 5: Solve for x
    x = 19,997.61/136.14
  6. Step 6: Final answer
    x = 146.89

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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.