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Finding the Fourth Proportional to 27.53, 37.96 and 23.16

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Solution

The fourth proportional to 27.53, 37.96 and 23.16 is: 31.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.53 : 37.96 = 23.16 : x
  2. Step 2: Convert to fraction form
    27.53/37.96 = 23.16/x
  3. Step 3: Cross multiply
    27.53x = 37.96 × 23.16
  4. Step 4: Simplify right side
    27.53x = 879.15
  5. Step 5: Solve for x
    x = 879.15/27.53
  6. Step 6: Final answer
    x = 31.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.