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Finding the Fourth Proportional to 52.24, 72.10 and 33.83

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Solution

The fourth proportional to 52.24, 72.10 and 33.83 is: 46.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.24 : 72.10 = 33.83 : x
  2. Step 2: Convert to fraction form
    52.24/72.10 = 33.83/x
  3. Step 3: Cross multiply
    52.24x = 72.10 × 33.83
  4. Step 4: Simplify right side
    52.24x = 2,438.61
  5. Step 5: Solve for x
    x = 2,438.61/52.24
  6. Step 6: Final answer
    x = 46.68

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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.