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Finding the Fourth Proportional to 120.48, 166.10 and 101.99

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Solution

The fourth proportional to 120.48, 166.10 and 101.99 is: 140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.48 : 166.10 = 101.99 : x
  2. Step 2: Convert to fraction form
    120.48/166.10 = 101.99/x
  3. Step 3: Cross multiply
    120.48x = 166.10 × 101.99
  4. Step 4: Simplify right side
    120.48x = 16,939.20
  5. Step 5: Solve for x
    x = 16,939.20/120.48
  6. Step 6: Final answer
    x = 140.60

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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.