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Finding the Fourth Proportional to 107.65, 162.14 and 98.09

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Solution

The fourth proportional to 107.65, 162.14 and 98.09 is: 147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.65 : 162.14 = 98.09 : x
  2. Step 2: Convert to fraction form
    107.65/162.14 = 98.09/x
  3. Step 3: Cross multiply
    107.65x = 162.14 × 98.09
  4. Step 4: Simplify right side
    107.65x = 15,903.75
  5. Step 5: Solve for x
    x = 15,903.75/107.65
  6. Step 6: Final answer
    x = 147.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.