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Finding the Fourth Proportional to 83.00, 114.29 and 76.48

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Solution

The fourth proportional to 83.00, 114.29 and 76.48 is: 105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.00 : 114.29 = 76.48 : x
  2. Step 2: Convert to fraction form
    83.00/114.29 = 76.48/x
  3. Step 3: Cross multiply
    83.00x = 114.29 × 76.48
  4. Step 4: Simplify right side
    83.00x = 8,740.52
  5. Step 5: Solve for x
    x = 8,740.52/83.00
  6. Step 6: Final answer
    x = 105.30

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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.