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Finding the Fourth Proportional to 310.48, 465.78 and 105.07

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Solution

The fourth proportional to 310.48, 465.78 and 105.07 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.48 : 465.78 = 105.07 : x
  2. Step 2: Convert to fraction form
    310.48/465.78 = 105.07/x
  3. Step 3: Cross multiply
    310.48x = 465.78 × 105.07
  4. Step 4: Simplify right side
    310.48x = 48,939.50
  5. Step 5: Solve for x
    x = 48,939.50/310.48
  6. Step 6: Final answer
    x = 157.63

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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.