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Finding the Fourth Proportional to 114.76, 158.21 and 83.22

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Solution

The fourth proportional to 114.76, 158.21 and 83.22 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.76 : 158.21 = 83.22 : x
  2. Step 2: Convert to fraction form
    114.76/158.21 = 83.22/x
  3. Step 3: Cross multiply
    114.76x = 158.21 × 83.22
  4. Step 4: Simplify right side
    114.76x = 13,166.44
  5. Step 5: Solve for x
    x = 13,166.44/114.76
  6. Step 6: Final answer
    x = 114.73

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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.