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Finding the Fourth Proportional to 62.12, 92.92 and 52.23

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Solution

The fourth proportional to 62.12, 92.92 and 52.23 is: 78.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.12 : 92.92 = 52.23 : x
  2. Step 2: Convert to fraction form
    62.12/92.92 = 52.23/x
  3. Step 3: Cross multiply
    62.12x = 92.92 × 52.23
  4. Step 4: Simplify right side
    62.12x = 4,853.21
  5. Step 5: Solve for x
    x = 4,853.21/62.12
  6. Step 6: Final answer
    x = 78.13

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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.