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Finding the Fourth Proportional to 74.96, 103.38 and 52.82

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Solution

The fourth proportional to 74.96, 103.38 and 52.82 is: 72.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 103.38 = 52.82 : x
  2. Step 2: Convert to fraction form
    74.96/103.38 = 52.82/x
  3. Step 3: Cross multiply
    74.96x = 103.38 × 52.82
  4. Step 4: Simplify right side
    74.96x = 5,460.53
  5. Step 5: Solve for x
    x = 5,460.53/74.96
  6. Step 6: Final answer
    x = 72.85

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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.