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Finding the Fourth Proportional to 52.82, 72.88 and 33.14

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Solution

The fourth proportional to 52.82, 72.88 and 33.14 is: 45.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.82 : 72.88 = 33.14 : x
  2. Step 2: Convert to fraction form
    52.82/72.88 = 33.14/x
  3. Step 3: Cross multiply
    52.82x = 72.88 × 33.14
  4. Step 4: Simplify right side
    52.82x = 2,415.24
  5. Step 5: Solve for x
    x = 2,415.24/52.82
  6. Step 6: Final answer
    x = 45.73

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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.