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Finding the Fourth Proportional to 136.77, 188.61 and 101.88

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Solution

The fourth proportional to 136.77, 188.61 and 101.88 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.77 : 188.61 = 101.88 : x
  2. Step 2: Convert to fraction form
    136.77/188.61 = 101.88/x
  3. Step 3: Cross multiply
    136.77x = 188.61 × 101.88
  4. Step 4: Simplify right side
    136.77x = 19,216.31
  5. Step 5: Solve for x
    x = 19,216.31/136.77
  6. Step 6: Final answer
    x = 140.50

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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.