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Finding the Fourth Proportional to 53.72, 80.12 and 46.42

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Solution

The fourth proportional to 53.72, 80.12 and 46.42 is: 69.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.72 : 80.12 = 46.42 : x
  2. Step 2: Convert to fraction form
    53.72/80.12 = 46.42/x
  3. Step 3: Cross multiply
    53.72x = 80.12 × 46.42
  4. Step 4: Simplify right side
    53.72x = 3,718.74
  5. Step 5: Solve for x
    x = 3,718.74/53.72
  6. Step 6: Final answer
    x = 69.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.