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Finding the Fourth Proportional to 120.18, 165.13 and 95.58

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Solution

The fourth proportional to 120.18, 165.13 and 95.58 is: 131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.18 : 165.13 = 95.58 : x
  2. Step 2: Convert to fraction form
    120.18/165.13 = 95.58/x
  3. Step 3: Cross multiply
    120.18x = 165.13 × 95.58
  4. Step 4: Simplify right side
    120.18x = 15,783.16
  5. Step 5: Solve for x
    x = 15,783.16/120.18
  6. Step 6: Final answer
    x = 131.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.