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Finding the Fourth Proportional to 53.72, 74.12 and 31.87

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Solution

The fourth proportional to 53.72, 74.12 and 31.87 is: 43.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.72 : 74.12 = 31.87 : x
  2. Step 2: Convert to fraction form
    53.72/74.12 = 31.87/x
  3. Step 3: Cross multiply
    53.72x = 74.12 × 31.87
  4. Step 4: Simplify right side
    53.72x = 2,362.20
  5. Step 5: Solve for x
    x = 2,362.20/53.72
  6. Step 6: Final answer
    x = 43.97

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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.