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Finding the Fourth Proportional to 27.86, 41.76 and 9.81

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Solution

The fourth proportional to 27.86, 41.76 and 9.81 is: 14.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.86 : 41.76 = 9.81 : x
  2. Step 2: Convert to fraction form
    27.86/41.76 = 9.81/x
  3. Step 3: Cross multiply
    27.86x = 41.76 × 9.81
  4. Step 4: Simplify right side
    27.86x = 409.71
  5. Step 5: Solve for x
    x = 409.71/27.86
  6. Step 6: Final answer
    x = 14.71

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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.