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Finding the Fourth Proportional to 114.20, 156.67 and 107.22

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Solution

The fourth proportional to 114.20, 156.67 and 107.22 is: 147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.20 : 156.67 = 107.22 : x
  2. Step 2: Convert to fraction form
    114.20/156.67 = 107.22/x
  3. Step 3: Cross multiply
    114.20x = 156.67 × 107.22
  4. Step 4: Simplify right side
    114.20x = 16,798.16
  5. Step 5: Solve for x
    x = 16,798.16/114.20
  6. Step 6: Final answer
    x = 147.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.