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Finding the Fourth Proportional to 310.07, 465.06 and 93.59

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Solution

The fourth proportional to 310.07, 465.06 and 93.59 is: 140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.07 : 465.06 = 93.59 : x
  2. Step 2: Convert to fraction form
    310.07/465.06 = 93.59/x
  3. Step 3: Cross multiply
    310.07x = 465.06 × 93.59
  4. Step 4: Simplify right side
    310.07x = 43,524.97
  5. Step 5: Solve for x
    x = 43,524.97/310.07
  6. Step 6: Final answer
    x = 140.37

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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.