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Finding the Fourth Proportional to 114.25, 156.74 and 107.29

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Solution

The fourth proportional to 114.25, 156.74 and 107.29 is: 147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.25 : 156.74 = 107.29 : x
  2. Step 2: Convert to fraction form
    114.25/156.74 = 107.29/x
  3. Step 3: Cross multiply
    114.25x = 156.74 × 107.29
  4. Step 4: Simplify right side
    114.25x = 16,816.63
  5. Step 5: Solve for x
    x = 16,816.63/114.25
  6. Step 6: Final answer
    x = 147.19

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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.