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Finding the Fourth Proportional to 27, 37.16 and 23.93

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Solution

The fourth proportional to 27, 37.16 and 23.93 is: 32.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 37.16 = 23.93 : x
  2. Step 2: Convert to fraction form
    27/37.16 = 23.93/x
  3. Step 3: Cross multiply
    27x = 37.16 × 23.93
  4. Step 4: Simplify right side
    27x = 889.16
  5. Step 5: Solve for x
    x = 889.16/27
  6. Step 6: Final answer
    x = 32.93

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