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Finding the Fourth Proportional to 96.83, 133.63 and 53.17

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Solution

The fourth proportional to 96.83, 133.63 and 53.17 is: 73.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.83 : 133.63 = 53.17 : x
  2. Step 2: Convert to fraction form
    96.83/133.63 = 53.17/x
  3. Step 3: Cross multiply
    96.83x = 133.63 × 53.17
  4. Step 4: Simplify right side
    96.83x = 7,104.17
  5. Step 5: Solve for x
    x = 7,104.17/96.83
  6. Step 6: Final answer
    x = 73.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.