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Finding the Fourth Proportional to 312.59, 468.77 and 107.12

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Solution

The fourth proportional to 312.59, 468.77 and 107.12 is: 160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.59 : 468.77 = 107.12 : x
  2. Step 2: Convert to fraction form
    312.59/468.77 = 107.12/x
  3. Step 3: Cross multiply
    312.59x = 468.77 × 107.12
  4. Step 4: Simplify right side
    312.59x = 50,211.76
  5. Step 5: Solve for x
    x = 50,211.76/312.59
  6. Step 6: Final answer
    x = 160.63

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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.