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Finding the Fourth Proportional to 83.15, 124.50 and 62.54

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Solution

The fourth proportional to 83.15, 124.50 and 62.54 is: 93.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.15 : 124.50 = 62.54 : x
  2. Step 2: Convert to fraction form
    83.15/124.50 = 62.54/x
  3. Step 3: Cross multiply
    83.15x = 124.50 × 62.54
  4. Step 4: Simplify right side
    83.15x = 7,786.23
  5. Step 5: Solve for x
    x = 7,786.23/83.15
  6. Step 6: Final answer
    x = 93.64

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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.