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Finding the Fourth Proportional to 135.77, 187.16 and 106.61

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Solution

The fourth proportional to 135.77, 187.16 and 106.61 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.77 : 187.16 = 106.61 : x
  2. Step 2: Convert to fraction form
    135.77/187.16 = 106.61/x
  3. Step 3: Cross multiply
    135.77x = 187.16 × 106.61
  4. Step 4: Simplify right side
    135.77x = 19,951.66
  5. Step 5: Solve for x
    x = 19,951.66/135.77
  6. Step 6: Final answer
    x = 146.96

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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.