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Finding the Fourth Proportional to 136.06, 187.71 and 84.22

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Solution

The fourth proportional to 136.06, 187.71 and 84.22 is: 116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 187.71 = 84.22 : x
  2. Step 2: Convert to fraction form
    136.06/187.71 = 84.22/x
  3. Step 3: Cross multiply
    136.06x = 187.71 × 84.22
  4. Step 4: Simplify right side
    136.06x = 15,808.94
  5. Step 5: Solve for x
    x = 15,808.94/136.06
  6. Step 6: Final answer
    x = 116.19

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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.