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Finding the Fourth Proportional to 96.21, 144.54 and 76.16

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Solution

The fourth proportional to 96.21, 144.54 and 76.16 is: 114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.21 : 144.54 = 76.16 : x
  2. Step 2: Convert to fraction form
    96.21/144.54 = 76.16/x
  3. Step 3: Cross multiply
    96.21x = 144.54 × 76.16
  4. Step 4: Simplify right side
    96.21x = 11,008.53
  5. Step 5: Solve for x
    x = 11,008.53/96.21
  6. Step 6: Final answer
    x = 114.42

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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.