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Finding the Fourth Proportional to 136.09, 187.61 and 106.93

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Solution

The fourth proportional to 136.09, 187.61 and 106.93 is: 147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.09 : 187.61 = 106.93 : x
  2. Step 2: Convert to fraction form
    136.09/187.61 = 106.93/x
  3. Step 3: Cross multiply
    136.09x = 187.61 × 106.93
  4. Step 4: Simplify right side
    136.09x = 20,060.13
  5. Step 5: Solve for x
    x = 20,060.13/136.09
  6. Step 6: Final answer
    x = 147.41

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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.