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Finding the Fourth Proportional to 27.77, 41.66 and 9.74

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Solution

The fourth proportional to 27.77, 41.66 and 9.74 is: 14.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.77 : 41.66 = 9.74 : x
  2. Step 2: Convert to fraction form
    27.77/41.66 = 9.74/x
  3. Step 3: Cross multiply
    27.77x = 41.66 × 9.74
  4. Step 4: Simplify right side
    27.77x = 405.77
  5. Step 5: Solve for x
    x = 405.77/27.77
  6. Step 6: Final answer
    x = 14.61

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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.