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Finding the Fourth Proportional to 83.33, 114.95 and 52.24

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Solution

The fourth proportional to 83.33, 114.95 and 52.24 is: 72.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.33 : 114.95 = 52.24 : x
  2. Step 2: Convert to fraction form
    83.33/114.95 = 52.24/x
  3. Step 3: Cross multiply
    83.33x = 114.95 × 52.24
  4. Step 4: Simplify right side
    83.33x = 6,004.54
  5. Step 5: Solve for x
    x = 6,004.54/83.33
  6. Step 6: Final answer
    x = 72.06

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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.