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Finding the Fourth Proportional to 52.14, 78.24 and 32.82

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Solution

The fourth proportional to 52.14, 78.24 and 32.82 is: 49.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 78.24 = 32.82 : x
  2. Step 2: Convert to fraction form
    52.14/78.24 = 32.82/x
  3. Step 3: Cross multiply
    52.14x = 78.24 × 32.82
  4. Step 4: Simplify right side
    52.14x = 2,567.84
  5. Step 5: Solve for x
    x = 2,567.84/52.14
  6. Step 6: Final answer
    x = 49.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.