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Finding the Fourth Proportional to 313.62, 469.91 and 108.07

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Solution

The fourth proportional to 313.62, 469.91 and 108.07 is: 161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 469.91 = 108.07 : x
  2. Step 2: Convert to fraction form
    313.62/469.91 = 108.07/x
  3. Step 3: Cross multiply
    313.62x = 469.91 × 108.07
  4. Step 4: Simplify right side
    313.62x = 50,783.17
  5. Step 5: Solve for x
    x = 50,783.17/313.62
  6. Step 6: Final answer
    x = 161.93

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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.