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Finding the Fourth Proportional to 52.25, 72.14 and 33.84

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Solution

The fourth proportional to 52.25, 72.14 and 33.84 is: 46.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.25 : 72.14 = 33.84 : x
  2. Step 2: Convert to fraction form
    52.25/72.14 = 33.84/x
  3. Step 3: Cross multiply
    52.25x = 72.14 × 33.84
  4. Step 4: Simplify right side
    52.25x = 2,441.22
  5. Step 5: Solve for x
    x = 2,441.22/52.25
  6. Step 6: Final answer
    x = 46.72

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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.