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Finding the Fourth Proportional to 121.40, 167.16 and 115.64

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Solution

The fourth proportional to 121.40, 167.16 and 115.64 is: 159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.40 : 167.16 = 115.64 : x
  2. Step 2: Convert to fraction form
    121.40/167.16 = 115.64/x
  3. Step 3: Cross multiply
    121.40x = 167.16 × 115.64
  4. Step 4: Simplify right side
    121.40x = 19,330.38
  5. Step 5: Solve for x
    x = 19,330.38/121.40
  6. Step 6: Final answer
    x = 159.23

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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.