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Finding the Fourth Proportional to 121.32, 166.68 and 113.40

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Solution

The fourth proportional to 121.32, 166.68 and 113.40 is: 155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.32 : 166.68 = 113.40 : x
  2. Step 2: Convert to fraction form
    121.32/166.68 = 113.40/x
  3. Step 3: Cross multiply
    121.32x = 166.68 × 113.40
  4. Step 4: Simplify right side
    121.32x = 18,901.51
  5. Step 5: Solve for x
    x = 18,901.51/121.32
  6. Step 6: Final answer
    x = 155.80

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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.