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Finding the Fourth Proportional to 170.08, 234.64 and 104.56

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Solution

The fourth proportional to 170.08, 234.64 and 104.56 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.08 : 234.64 = 104.56 : x
  2. Step 2: Convert to fraction form
    170.08/234.64 = 104.56/x
  3. Step 3: Cross multiply
    170.08x = 234.64 × 104.56
  4. Step 4: Simplify right side
    170.08x = 24,533.96
  5. Step 5: Solve for x
    x = 24,533.96/170.08
  6. Step 6: Final answer
    x = 144.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.