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Finding the Fourth Proportional to 52.83, 72.94 and 31.83

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Solution

The fourth proportional to 52.83, 72.94 and 31.83 is: 43.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.83 : 72.94 = 31.83 : x
  2. Step 2: Convert to fraction form
    52.83/72.94 = 31.83/x
  3. Step 3: Cross multiply
    52.83x = 72.94 × 31.83
  4. Step 4: Simplify right side
    52.83x = 2,321.86
  5. Step 5: Solve for x
    x = 2,321.86/52.83
  6. Step 6: Final answer
    x = 43.95

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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.