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Finding the Fourth Proportional to 27.08, 40.58 and 26.42

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Solution

The fourth proportional to 27.08, 40.58 and 26.42 is: 39.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.08 : 40.58 = 26.42 : x
  2. Step 2: Convert to fraction form
    27.08/40.58 = 26.42/x
  3. Step 3: Cross multiply
    27.08x = 40.58 × 26.42
  4. Step 4: Simplify right side
    27.08x = 1,072.12
  5. Step 5: Solve for x
    x = 1,072.12/27.08
  6. Step 6: Final answer
    x = 39.59

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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.