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Finding the Fourth Proportional to 96.17, 143.56 and 83.42

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Solution

The fourth proportional to 96.17, 143.56 and 83.42 is: 124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.17 : 143.56 = 83.42 : x
  2. Step 2: Convert to fraction form
    96.17/143.56 = 83.42/x
  3. Step 3: Cross multiply
    96.17x = 143.56 × 83.42
  4. Step 4: Simplify right side
    96.17x = 11,975.36
  5. Step 5: Solve for x
    x = 11,975.36/96.17
  6. Step 6: Final answer
    x = 124.52

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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.