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Finding the Fourth Proportional to 96.44, 143.68 and 92.30

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Solution

The fourth proportional to 96.44, 143.68 and 92.30 is: 137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.44 : 143.68 = 92.30 : x
  2. Step 2: Convert to fraction form
    96.44/143.68 = 92.30/x
  3. Step 3: Cross multiply
    96.44x = 143.68 × 92.30
  4. Step 4: Simplify right side
    96.44x = 13,261.66
  5. Step 5: Solve for x
    x = 13,261.66/96.44
  6. Step 6: Final answer
    x = 137.51

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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.