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Finding the Fourth Proportional to 310.47, 465.75 and 105.03

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Solution

The fourth proportional to 310.47, 465.75 and 105.03 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.47 : 465.75 = 105.03 : x
  2. Step 2: Convert to fraction form
    310.47/465.75 = 105.03/x
  3. Step 3: Cross multiply
    310.47x = 465.75 × 105.03
  4. Step 4: Simplify right side
    310.47x = 48,917.72
  5. Step 5: Solve for x
    x = 48,917.72/310.47
  6. Step 6: Final answer
    x = 157.56

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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.