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Finding the Fourth Proportional to 136.58, 188.06 and 103.77

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Solution

The fourth proportional to 136.58, 188.06 and 103.77 is: 142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.58 : 188.06 = 103.77 : x
  2. Step 2: Convert to fraction form
    136.58/188.06 = 103.77/x
  3. Step 3: Cross multiply
    136.58x = 188.06 × 103.77
  4. Step 4: Simplify right side
    136.58x = 19,514.47
  5. Step 5: Solve for x
    x = 19,514.47/136.58
  6. Step 6: Final answer
    x = 142.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.