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Finding the Fourth Proportional to 41.86, 57.76 and 22.93

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Solution

The fourth proportional to 41.86, 57.76 and 22.93 is: 31.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.86 : 57.76 = 22.93 : x
  2. Step 2: Convert to fraction form
    41.86/57.76 = 22.93/x
  3. Step 3: Cross multiply
    41.86x = 57.76 × 22.93
  4. Step 4: Simplify right side
    41.86x = 1,324.71
  5. Step 5: Solve for x
    x = 1,324.71/41.86
  6. Step 6: Final answer
    x = 31.65

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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.