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Finding the Fourth Proportional to 96.43, 133.08 and 52.77

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Solution

The fourth proportional to 96.43, 133.08 and 52.77 is: 72.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.43 : 133.08 = 52.77 : x
  2. Step 2: Convert to fraction form
    96.43/133.08 = 52.77/x
  3. Step 3: Cross multiply
    96.43x = 133.08 × 52.77
  4. Step 4: Simplify right side
    96.43x = 7,022.48
  5. Step 5: Solve for x
    x = 7,022.48/96.43
  6. Step 6: Final answer
    x = 72.82

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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.