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Finding the Fourth Proportional to 83.25, 114.73 and 59.93

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Solution

The fourth proportional to 83.25, 114.73 and 59.93 is: 82.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.25 : 114.73 = 59.93 : x
  2. Step 2: Convert to fraction form
    83.25/114.73 = 59.93/x
  3. Step 3: Cross multiply
    83.25x = 114.73 × 59.93
  4. Step 4: Simplify right side
    83.25x = 6,875.77
  5. Step 5: Solve for x
    x = 6,875.77/83.25
  6. Step 6: Final answer
    x = 82.59

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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.