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Finding the Fourth Proportional to 62.93, 94.82 and 52.33

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Solution

The fourth proportional to 62.93, 94.82 and 52.33 is: 78.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.93 : 94.82 = 52.33 : x
  2. Step 2: Convert to fraction form
    62.93/94.82 = 52.33/x
  3. Step 3: Cross multiply
    62.93x = 94.82 × 52.33
  4. Step 4: Simplify right side
    62.93x = 4,961.19
  5. Step 5: Solve for x
    x = 4,961.19/62.93
  6. Step 6: Final answer
    x = 78.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.