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Finding the Fourth Proportional to 136.68, 188.58 and 77.66

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Solution

The fourth proportional to 136.68, 188.58 and 77.66 is: 107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.68 : 188.58 = 77.66 : x
  2. Step 2: Convert to fraction form
    136.68/188.58 = 77.66/x
  3. Step 3: Cross multiply
    136.68x = 188.58 × 77.66
  4. Step 4: Simplify right side
    136.68x = 14,644.18
  5. Step 5: Solve for x
    x = 14,644.18/136.68
  6. Step 6: Final answer
    x = 107.14

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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.