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Finding the Fourth Proportional to 136.73, 188.77 and 90.22

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Solution

The fourth proportional to 136.73, 188.77 and 90.22 is: 124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.73 : 188.77 = 90.22 : x
  2. Step 2: Convert to fraction form
    136.73/188.77 = 90.22/x
  3. Step 3: Cross multiply
    136.73x = 188.77 × 90.22
  4. Step 4: Simplify right side
    136.73x = 17,030.65
  5. Step 5: Solve for x
    x = 17,030.65/136.73
  6. Step 6: Final answer
    x = 124.55

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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.