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Finding the Fourth Proportional to 83.31, 114.96 and 46.47

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Solution

The fourth proportional to 83.31, 114.96 and 46.47 is: 64.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.31 : 114.96 = 46.47 : x
  2. Step 2: Convert to fraction form
    83.31/114.96 = 46.47/x
  3. Step 3: Cross multiply
    83.31x = 114.96 × 46.47
  4. Step 4: Simplify right side
    83.31x = 5,342.19
  5. Step 5: Solve for x
    x = 5,342.19/83.31
  6. Step 6: Final answer
    x = 64.12

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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.