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Finding the Fourth Proportional to 180.96, 271.61 and 89.72

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Solution

The fourth proportional to 180.96, 271.61 and 89.72 is: 134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 271.61 = 89.72 : x
  2. Step 2: Convert to fraction form
    180.96/271.61 = 89.72/x
  3. Step 3: Cross multiply
    180.96x = 271.61 × 89.72
  4. Step 4: Simplify right side
    180.96x = 24,369.53
  5. Step 5: Solve for x
    x = 24,369.53/180.96
  6. Step 6: Final answer
    x = 134.67

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Why These Related Problems?

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