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Finding the Fourth Proportional to 350.32, 525.48 and 106.87

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Solution

The fourth proportional to 350.32, 525.48 and 106.87 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.32 : 525.48 = 106.87 : x
  2. Step 2: Convert to fraction form
    350.32/525.48 = 106.87/x
  3. Step 3: Cross multiply
    350.32x = 525.48 × 106.87
  4. Step 4: Simplify right side
    350.32x = 56,158.05
  5. Step 5: Solve for x
    x = 56,158.05/350.32
  6. Step 6: Final answer
    x = 160.31

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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.