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Finding the Fourth Proportional to 170.17, 234.71 and 117.81

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Solution

The fourth proportional to 170.17, 234.71 and 117.81 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.17 : 234.71 = 117.81 : x
  2. Step 2: Convert to fraction form
    170.17/234.71 = 117.81/x
  3. Step 3: Cross multiply
    170.17x = 234.71 × 117.81
  4. Step 4: Simplify right side
    170.17x = 27,650.01
  5. Step 5: Solve for x
    x = 27,650.01/170.17
  6. Step 6: Final answer
    x = 162.48

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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.