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Finding the Fourth Proportional to 114.66, 170.96 and 113.46

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Solution

The fourth proportional to 114.66, 170.96 and 113.46 is: 169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.66 : 170.96 = 113.46 : x
  2. Step 2: Convert to fraction form
    114.66/170.96 = 113.46/x
  3. Step 3: Cross multiply
    114.66x = 170.96 × 113.46
  4. Step 4: Simplify right side
    114.66x = 19,396.55
  5. Step 5: Solve for x
    x = 19,396.55/114.66
  6. Step 6: Final answer
    x = 169.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.