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Finding the Fourth Proportional to 114.47, 158.31 and 107.98

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Solution

The fourth proportional to 114.47, 158.31 and 107.98 is: 149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 158.31 = 107.98 : x
  2. Step 2: Convert to fraction form
    114.47/158.31 = 107.98/x
  3. Step 3: Cross multiply
    114.47x = 158.31 × 107.98
  4. Step 4: Simplify right side
    114.47x = 17,093.92
  5. Step 5: Solve for x
    x = 17,093.92/114.47
  6. Step 6: Final answer
    x = 149.33

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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.