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Finding the Fourth Proportional to 170.13, 234.78 and 96.47

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Solution

The fourth proportional to 170.13, 234.78 and 96.47 is: 133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.13 : 234.78 = 96.47 : x
  2. Step 2: Convert to fraction form
    170.13/234.78 = 96.47/x
  3. Step 3: Cross multiply
    170.13x = 234.78 × 96.47
  4. Step 4: Simplify right side
    170.13x = 22,649.23
  5. Step 5: Solve for x
    x = 22,649.23/170.13
  6. Step 6: Final answer
    x = 133.13

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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.