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Finding the Fourth Proportional to 350.54, 525.84 and 107.07

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Solution

The fourth proportional to 350.54, 525.84 and 107.07 is: 160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.54 : 525.84 = 107.07 : x
  2. Step 2: Convert to fraction form
    350.54/525.84 = 107.07/x
  3. Step 3: Cross multiply
    350.54x = 525.84 × 107.07
  4. Step 4: Simplify right side
    350.54x = 56,301.69
  5. Step 5: Solve for x
    x = 56,301.69/350.54
  6. Step 6: Final answer
    x = 160.61

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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.