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Finding the Fourth Proportional to 135.70, 187.29 and 86.59

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Solution

The fourth proportional to 135.70, 187.29 and 86.59 is: 119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.70 : 187.29 = 86.59 : x
  2. Step 2: Convert to fraction form
    135.70/187.29 = 86.59/x
  3. Step 3: Cross multiply
    135.70x = 187.29 × 86.59
  4. Step 4: Simplify right side
    135.70x = 16,217.44
  5. Step 5: Solve for x
    x = 16,217.44/135.70
  6. Step 6: Final answer
    x = 119.51

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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.