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Finding the Fourth Proportional to 136.55, 188.31 and 89.84

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Solution

The fourth proportional to 136.55, 188.31 and 89.84 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.55 : 188.31 = 89.84 : x
  2. Step 2: Convert to fraction form
    136.55/188.31 = 89.84/x
  3. Step 3: Cross multiply
    136.55x = 188.31 × 89.84
  4. Step 4: Simplify right side
    136.55x = 16,918.58
  5. Step 5: Solve for x
    x = 16,918.58/136.55
  6. Step 6: Final answer
    x = 123.90

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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.