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Finding the Fourth Proportional to 82.86, 124.22 and 37.19

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Solution

The fourth proportional to 82.86, 124.22 and 37.19 is: 55.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.86 : 124.22 = 37.19 : x
  2. Step 2: Convert to fraction form
    82.86/124.22 = 37.19/x
  3. Step 3: Cross multiply
    82.86x = 124.22 × 37.19
  4. Step 4: Simplify right side
    82.86x = 4,618.93
  5. Step 5: Solve for x
    x = 4,618.93/82.86
  6. Step 6: Final answer
    x = 55.74

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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.