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Finding the Fourth Proportional to 107.37, 160.28 and 100.28

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Solution

The fourth proportional to 107.37, 160.28 and 100.28 is: 149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.37 : 160.28 = 100.28 : x
  2. Step 2: Convert to fraction form
    107.37/160.28 = 100.28/x
  3. Step 3: Cross multiply
    107.37x = 160.28 × 100.28
  4. Step 4: Simplify right side
    107.37x = 16,072.88
  5. Step 5: Solve for x
    x = 16,072.88/107.37
  6. Step 6: Final answer
    x = 149.70

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