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Finding the Fourth Proportional to 52.58, 78.82 and 35.42

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Solution

The fourth proportional to 52.58, 78.82 and 35.42 is: 53.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.58 : 78.82 = 35.42 : x
  2. Step 2: Convert to fraction form
    52.58/78.82 = 35.42/x
  3. Step 3: Cross multiply
    52.58x = 78.82 × 35.42
  4. Step 4: Simplify right side
    52.58x = 2,791.41
  5. Step 5: Solve for x
    x = 2,791.41/52.58
  6. Step 6: Final answer
    x = 53.09

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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.