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Finding the Fourth Proportional to 81.66, 112.71 and 51.81

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Solution

The fourth proportional to 81.66, 112.71 and 51.81 is: 71.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.66 : 112.71 = 51.81 : x
  2. Step 2: Convert to fraction form
    81.66/112.71 = 51.81/x
  3. Step 3: Cross multiply
    81.66x = 112.71 × 51.81
  4. Step 4: Simplify right side
    81.66x = 5,839.51
  5. Step 5: Solve for x
    x = 5,839.51/81.66
  6. Step 6: Final answer
    x = 71.51

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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.