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Finding the Fourth Proportional to 53.57, 73.92 and 31.72

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Solution

The fourth proportional to 53.57, 73.92 and 31.72 is: 43.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.57 : 73.92 = 31.72 : x
  2. Step 2: Convert to fraction form
    53.57/73.92 = 31.72/x
  3. Step 3: Cross multiply
    53.57x = 73.92 × 31.72
  4. Step 4: Simplify right side
    53.57x = 2,344.74
  5. Step 5: Solve for x
    x = 2,344.74/53.57
  6. Step 6: Final answer
    x = 43.77

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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.