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Finding the Fourth Proportional to 27.51, 37.92 and 22.83

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Solution

The fourth proportional to 27.51, 37.92 and 22.83 is: 31.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.51 : 37.92 = 22.83 : x
  2. Step 2: Convert to fraction form
    27.51/37.92 = 22.83/x
  3. Step 3: Cross multiply
    27.51x = 37.92 × 22.83
  4. Step 4: Simplify right side
    27.51x = 865.71
  5. Step 5: Solve for x
    x = 865.71/27.51
  6. Step 6: Final answer
    x = 31.47

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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.