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Finding the Fourth Proportional to 107.37, 159.93 and 98.28

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Solution

The fourth proportional to 107.37, 159.93 and 98.28 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.37 : 159.93 = 98.28 : x
  2. Step 2: Convert to fraction form
    107.37/159.93 = 98.28/x
  3. Step 3: Cross multiply
    107.37x = 159.93 × 98.28
  4. Step 4: Simplify right side
    107.37x = 15,717.92
  5. Step 5: Solve for x
    x = 15,717.92/107.37
  6. Step 6: Final answer
    x = 146.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.