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Finding the Fourth Proportional to 102.82, 153.86 and 96.97

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Solution

The fourth proportional to 102.82, 153.86 and 96.97 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 153.86 = 96.97 : x
  2. Step 2: Convert to fraction form
    102.82/153.86 = 96.97/x
  3. Step 3: Cross multiply
    102.82x = 153.86 × 96.97
  4. Step 4: Simplify right side
    102.82x = 14,919.80
  5. Step 5: Solve for x
    x = 14,919.80/102.82
  6. Step 6: Final answer
    x = 145.11

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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.