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Finding the Fourth Proportional to 83.05, 114.62 and 52.00

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Solution

The fourth proportional to 83.05, 114.62 and 52.00 is: 71.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.05 : 114.62 = 52.00 : x
  2. Step 2: Convert to fraction form
    83.05/114.62 = 52.00/x
  3. Step 3: Cross multiply
    83.05x = 114.62 × 52.00
  4. Step 4: Simplify right side
    83.05x = 5,959.99
  5. Step 5: Solve for x
    x = 5,959.99/83.05
  6. Step 6: Final answer
    x = 71.76

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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.