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Finding the Fourth Proportional to 27.09, 40.60 and 22.57

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Solution

The fourth proportional to 27.09, 40.60 and 22.57 is: 33.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.09 : 40.60 = 22.57 : x
  2. Step 2: Convert to fraction form
    27.09/40.60 = 22.57/x
  3. Step 3: Cross multiply
    27.09x = 40.60 × 22.57
  4. Step 4: Simplify right side
    27.09x = 916.18
  5. Step 5: Solve for x
    x = 916.18/27.09
  6. Step 6: Final answer
    x = 33.82

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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.