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Finding the Fourth Proportional to 114.66, 158.22 and 77.27

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Solution

The fourth proportional to 114.66, 158.22 and 77.27 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.66 : 158.22 = 77.27 : x
  2. Step 2: Convert to fraction form
    114.66/158.22 = 77.27/x
  3. Step 3: Cross multiply
    114.66x = 158.22 × 77.27
  4. Step 4: Simplify right side
    114.66x = 12,224.87
  5. Step 5: Solve for x
    x = 12,224.87/114.66
  6. Step 6: Final answer
    x = 106.62

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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.