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Finding the Fourth Proportional to 136.87, 188.75 and 105.86

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Solution

The fourth proportional to 136.87, 188.75 and 105.86 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.87 : 188.75 = 105.86 : x
  2. Step 2: Convert to fraction form
    136.87/188.75 = 105.86/x
  3. Step 3: Cross multiply
    136.87x = 188.75 × 105.86
  4. Step 4: Simplify right side
    136.87x = 19,981.81
  5. Step 5: Solve for x
    x = 19,981.81/136.87
  6. Step 6: Final answer
    x = 145.99

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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.