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Finding the Fourth Proportional to 174.39, 261.61 and 87.77

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Solution

The fourth proportional to 174.39, 261.61 and 87.77 is: 131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.39 : 261.61 = 87.77 : x
  2. Step 2: Convert to fraction form
    174.39/261.61 = 87.77/x
  3. Step 3: Cross multiply
    174.39x = 261.61 × 87.77
  4. Step 4: Simplify right side
    174.39x = 22,960.97
  5. Step 5: Solve for x
    x = 22,960.97/174.39
  6. Step 6: Final answer
    x = 131.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.