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Finding the Fourth Proportional to 120.09, 165.66 and 70.31

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Solution

The fourth proportional to 120.09, 165.66 and 70.31 is: 96.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 165.66 = 70.31 : x
  2. Step 2: Convert to fraction form
    120.09/165.66 = 70.31/x
  3. Step 3: Cross multiply
    120.09x = 165.66 × 70.31
  4. Step 4: Simplify right side
    120.09x = 11,646.73
  5. Step 5: Solve for x
    x = 11,646.73/120.09
  6. Step 6: Final answer
    x = 96.98

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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.