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Finding the Fourth Proportional to 53.73, 81 and 51.17

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Solution

The fourth proportional to 53.73, 81 and 51.17 is: 77.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.73 : 81 = 51.17 : x
  2. Step 2: Convert to fraction form
    53.73/81 = 51.17/x
  3. Step 3: Cross multiply
    53.73x = 81 × 51.17
  4. Step 4: Simplify right side
    53.73x = 4,144.37
  5. Step 5: Solve for x
    x = 4,144.37/53.73
  6. Step 6: Final answer
    x = 77.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.