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Finding the Fourth Proportional to 310.54, 465.82 and 94.12

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Solution

The fourth proportional to 310.54, 465.82 and 94.12 is: 141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.54 : 465.82 = 94.12 : x
  2. Step 2: Convert to fraction form
    310.54/465.82 = 94.12/x
  3. Step 3: Cross multiply
    310.54x = 465.82 × 94.12
  4. Step 4: Simplify right side
    310.54x = 43,842.98
  5. Step 5: Solve for x
    x = 43,842.98/310.54
  6. Step 6: Final answer
    x = 141.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.