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Finding the Fourth Proportional to 109.96, 165.75 and 98.80

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Solution

The fourth proportional to 109.96, 165.75 and 98.80 is: 148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 165.75 = 98.80 : x
  2. Step 2: Convert to fraction form
    109.96/165.75 = 98.80/x
  3. Step 3: Cross multiply
    109.96x = 165.75 × 98.80
  4. Step 4: Simplify right side
    109.96x = 16,376.10
  5. Step 5: Solve for x
    x = 16,376.10/109.96
  6. Step 6: Final answer
    x = 148.93

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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.