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Finding the Fourth Proportional to 27.05, 40.56 and 17.42

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Solution

The fourth proportional to 27.05, 40.56 and 17.42 is: 26.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.05 : 40.56 = 17.42 : x
  2. Step 2: Convert to fraction form
    27.05/40.56 = 17.42/x
  3. Step 3: Cross multiply
    27.05x = 40.56 × 17.42
  4. Step 4: Simplify right side
    27.05x = 706.35
  5. Step 5: Solve for x
    x = 706.35/27.05
  6. Step 6: Final answer
    x = 26.11

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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.