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Finding the Fourth Proportional to 27.54, 41.32 and 9.52

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Solution

The fourth proportional to 27.54, 41.32 and 9.52 is: 14.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.54 : 41.32 = 9.52 : x
  2. Step 2: Convert to fraction form
    27.54/41.32 = 9.52/x
  3. Step 3: Cross multiply
    27.54x = 41.32 × 9.52
  4. Step 4: Simplify right side
    27.54x = 393.11
  5. Step 5: Solve for x
    x = 393.11/27.54
  6. Step 6: Final answer
    x = 14.27

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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.