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Finding the Fourth Proportional to 136.00, 187.67 and 73.82

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Solution

The fourth proportional to 136.00, 187.67 and 73.82 is: 101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.00 : 187.67 = 73.82 : x
  2. Step 2: Convert to fraction form
    136.00/187.67 = 73.82/x
  3. Step 3: Cross multiply
    136.00x = 187.67 × 73.82
  4. Step 4: Simplify right side
    136.00x = 13,854.64
  5. Step 5: Solve for x
    x = 13,854.64/136.00
  6. Step 6: Final answer
    x = 101.88

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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.