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Finding the Fourth Proportional to 27.78, 41.64 and 9.72

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Solution

The fourth proportional to 27.78, 41.64 and 9.72 is: 14.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.78 : 41.64 = 9.72 : x
  2. Step 2: Convert to fraction form
    27.78/41.64 = 9.72/x
  3. Step 3: Cross multiply
    27.78x = 41.64 × 9.72
  4. Step 4: Simplify right side
    27.78x = 404.74
  5. Step 5: Solve for x
    x = 404.74/27.78
  6. Step 6: Final answer
    x = 14.57

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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.