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Finding the Fourth Proportional to 136.58, 188.30 and 107.11

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Solution

The fourth proportional to 136.58, 188.30 and 107.11 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.58 : 188.30 = 107.11 : x
  2. Step 2: Convert to fraction form
    136.58/188.30 = 107.11/x
  3. Step 3: Cross multiply
    136.58x = 188.30 × 107.11
  4. Step 4: Simplify right side
    136.58x = 20,167.34
  5. Step 5: Solve for x
    x = 20,167.34/136.58
  6. Step 6: Final answer
    x = 147.66

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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.