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Finding the Fourth Proportional to 114.03, 170.79 and 89.62

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Solution

The fourth proportional to 114.03, 170.79 and 89.62 is: 134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.03 : 170.79 = 89.62 : x
  2. Step 2: Convert to fraction form
    114.03/170.79 = 89.62/x
  3. Step 3: Cross multiply
    114.03x = 170.79 × 89.62
  4. Step 4: Simplify right side
    114.03x = 15,305.55
  5. Step 5: Solve for x
    x = 15,305.55/114.03
  6. Step 6: Final answer
    x = 134.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.