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Finding the Fourth Proportional to 53.81, 74.22 and 31.94

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Solution

The fourth proportional to 53.81, 74.22 and 31.94 is: 44.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.81 : 74.22 = 31.94 : x
  2. Step 2: Convert to fraction form
    53.81/74.22 = 31.94/x
  3. Step 3: Cross multiply
    53.81x = 74.22 × 31.94
  4. Step 4: Simplify right side
    53.81x = 2,370.79
  5. Step 5: Solve for x
    x = 2,370.79/53.81
  6. Step 6: Final answer
    x = 44.05

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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.