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Finding the Fourth Proportional to 119.88, 165.27 and 99.60

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Solution

The fourth proportional to 119.88, 165.27 and 99.60 is: 137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.88 : 165.27 = 99.60 : x
  2. Step 2: Convert to fraction form
    119.88/165.27 = 99.60/x
  3. Step 3: Cross multiply
    119.88x = 165.27 × 99.60
  4. Step 4: Simplify right side
    119.88x = 16,460.89
  5. Step 5: Solve for x
    x = 16,460.89/119.88
  6. Step 6: Final answer
    x = 137.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.