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Finding the Fourth Proportional to 83.09, 114.66 and 46.24

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Solution

The fourth proportional to 83.09, 114.66 and 46.24 is: 63.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 114.66 = 46.24 : x
  2. Step 2: Convert to fraction form
    83.09/114.66 = 46.24/x
  3. Step 3: Cross multiply
    83.09x = 114.66 × 46.24
  4. Step 4: Simplify right side
    83.09x = 5,302.35
  5. Step 5: Solve for x
    x = 5,302.35/83.09
  6. Step 6: Final answer
    x = 63.82

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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.