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Finding the Fourth Proportional to 83.06, 114.59 and 51.96

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Solution

The fourth proportional to 83.06, 114.59 and 51.96 is: 71.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 114.59 = 51.96 : x
  2. Step 2: Convert to fraction form
    83.06/114.59 = 51.96/x
  3. Step 3: Cross multiply
    83.06x = 114.59 × 51.96
  4. Step 4: Simplify right side
    83.06x = 5,953.84
  5. Step 5: Solve for x
    x = 5,953.84/83.06
  6. Step 6: Final answer
    x = 71.69

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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.