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Finding the Fourth Proportional to 350.54, 525.79 and 107.05

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Solution

The fourth proportional to 350.54, 525.79 and 107.05 is: 160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.54 : 525.79 = 107.05 : x
  2. Step 2: Convert to fraction form
    350.54/525.79 = 107.05/x
  3. Step 3: Cross multiply
    350.54x = 525.79 × 107.05
  4. Step 4: Simplify right side
    350.54x = 56,284.38
  5. Step 5: Solve for x
    x = 56,284.38/350.54
  6. Step 6: Final answer
    x = 160.56

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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.