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Finding the Fourth Proportional to 96.36, 143.85 and 80.16

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Solution

The fourth proportional to 96.36, 143.85 and 80.16 is: 119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.36 : 143.85 = 80.16 : x
  2. Step 2: Convert to fraction form
    96.36/143.85 = 80.16/x
  3. Step 3: Cross multiply
    96.36x = 143.85 × 80.16
  4. Step 4: Simplify right side
    96.36x = 11,531.02
  5. Step 5: Solve for x
    x = 11,531.02/96.36
  6. Step 6: Final answer
    x = 119.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.