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Finding the Fourth Proportional to 27.08, 40.61 and 9.04

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Solution

The fourth proportional to 27.08, 40.61 and 9.04 is: 13.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.08 : 40.61 = 9.04 : x
  2. Step 2: Convert to fraction form
    27.08/40.61 = 9.04/x
  3. Step 3: Cross multiply
    27.08x = 40.61 × 9.04
  4. Step 4: Simplify right side
    27.08x = 367.11
  5. Step 5: Solve for x
    x = 367.11/27.08
  6. Step 6: Final answer
    x = 13.56

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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.