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Finding the Fourth Proportional to 96.02, 143.94 and 38.23

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Solution

The fourth proportional to 96.02, 143.94 and 38.23 is: 57.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 143.94 = 38.23 : x
  2. Step 2: Convert to fraction form
    96.02/143.94 = 38.23/x
  3. Step 3: Cross multiply
    96.02x = 143.94 × 38.23
  4. Step 4: Simplify right side
    96.02x = 5,502.47
  5. Step 5: Solve for x
    x = 5,502.47/96.02
  6. Step 6: Final answer
    x = 57.30

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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.