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Finding the Fourth Proportional to 96.86, 144.34 and 96.32

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Solution

The fourth proportional to 96.86, 144.34 and 96.32 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.86 : 144.34 = 96.32 : x
  2. Step 2: Convert to fraction form
    96.86/144.34 = 96.32/x
  3. Step 3: Cross multiply
    96.86x = 144.34 × 96.32
  4. Step 4: Simplify right side
    96.86x = 13,902.83
  5. Step 5: Solve for x
    x = 13,902.83/96.86
  6. Step 6: Final answer
    x = 143.54

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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.