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Finding the Fourth Proportional to 67.82, 101.64 and 52.53

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Solution

The fourth proportional to 67.82, 101.64 and 52.53 is: 78.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.82 : 101.64 = 52.53 : x
  2. Step 2: Convert to fraction form
    67.82/101.64 = 52.53/x
  3. Step 3: Cross multiply
    67.82x = 101.64 × 52.53
  4. Step 4: Simplify right side
    67.82x = 5,338.89
  5. Step 5: Solve for x
    x = 5,338.89/67.82
  6. Step 6: Final answer
    x = 78.72

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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.