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Finding the Fourth Proportional to 114.21, 170.91 and 96.39

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Solution

The fourth proportional to 114.21, 170.91 and 96.39 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.21 : 170.91 = 96.39 : x
  2. Step 2: Convert to fraction form
    114.21/170.91 = 96.39/x
  3. Step 3: Cross multiply
    114.21x = 170.91 × 96.39
  4. Step 4: Simplify right side
    114.21x = 16,474.01
  5. Step 5: Solve for x
    x = 16,474.01/114.21
  6. Step 6: Final answer
    x = 144.24

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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.