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Finding the Fourth Proportional to 170.13, 234.15 and 120.93

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Solution

The fourth proportional to 170.13, 234.15 and 120.93 is: 166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.13 : 234.15 = 120.93 : x
  2. Step 2: Convert to fraction form
    170.13/234.15 = 120.93/x
  3. Step 3: Cross multiply
    170.13x = 234.15 × 120.93
  4. Step 4: Simplify right side
    170.13x = 28,315.76
  5. Step 5: Solve for x
    x = 28,315.76/170.13
  6. Step 6: Final answer
    x = 166.44

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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.