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Finding the Fourth Proportional to 170.16, 234.77 and 104.64

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Solution

The fourth proportional to 170.16, 234.77 and 104.64 is: 144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 234.77 = 104.64 : x
  2. Step 2: Convert to fraction form
    170.16/234.77 = 104.64/x
  3. Step 3: Cross multiply
    170.16x = 234.77 × 104.64
  4. Step 4: Simplify right side
    170.16x = 24,565.81
  5. Step 5: Solve for x
    x = 24,565.81/170.16
  6. Step 6: Final answer
    x = 144.37

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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.