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Finding the Fourth Proportional to 120.09, 165.60 and 99.84

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Solution

The fourth proportional to 120.09, 165.60 and 99.84 is: 137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 165.60 = 99.84 : x
  2. Step 2: Convert to fraction form
    120.09/165.60 = 99.84/x
  3. Step 3: Cross multiply
    120.09x = 165.60 × 99.84
  4. Step 4: Simplify right side
    120.09x = 16,533.50
  5. Step 5: Solve for x
    x = 16,533.50/120.09
  6. Step 6: Final answer
    x = 137.68

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Why These Related Problems?

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