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Finding the Fourth Proportional to 136.47, 188.34 and 76.66

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Solution

The fourth proportional to 136.47, 188.34 and 76.66 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.47 : 188.34 = 76.66 : x
  2. Step 2: Convert to fraction form
    136.47/188.34 = 76.66/x
  3. Step 3: Cross multiply
    136.47x = 188.34 × 76.66
  4. Step 4: Simplify right side
    136.47x = 14,438.64
  5. Step 5: Solve for x
    x = 14,438.64/136.47
  6. Step 6: Final answer
    x = 105.80

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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.