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Finding the Fourth Proportional to 107.83, 149.55 and 98.72

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Solution

The fourth proportional to 107.83, 149.55 and 98.72 is: 136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.83 : 149.55 = 98.72 : x
  2. Step 2: Convert to fraction form
    107.83/149.55 = 98.72/x
  3. Step 3: Cross multiply
    107.83x = 149.55 × 98.72
  4. Step 4: Simplify right side
    107.83x = 14,763.02
  5. Step 5: Solve for x
    x = 14,763.02/107.83
  6. Step 6: Final answer
    x = 136.91

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.