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Finding the Fourth Proportional to 70.92, 97.83 and 52.50

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Solution

The fourth proportional to 70.92, 97.83 and 52.50 is: 72.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.92 : 97.83 = 52.50 : x
  2. Step 2: Convert to fraction form
    70.92/97.83 = 52.50/x
  3. Step 3: Cross multiply
    70.92x = 97.83 × 52.50
  4. Step 4: Simplify right side
    70.92x = 5,136.08
  5. Step 5: Solve for x
    x = 5,136.08/70.92
  6. Step 6: Final answer
    x = 72.42

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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.