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Finding the Fourth Proportional to 53.54, 73.88 and 31.71

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Solution

The fourth proportional to 53.54, 73.88 and 31.71 is: 43.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.54 : 73.88 = 31.71 : x
  2. Step 2: Convert to fraction form
    53.54/73.88 = 31.71/x
  3. Step 3: Cross multiply
    53.54x = 73.88 × 31.71
  4. Step 4: Simplify right side
    53.54x = 2,342.73
  5. Step 5: Solve for x
    x = 2,342.73/53.54
  6. Step 6: Final answer
    x = 43.76

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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.