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Finding the Fourth Proportional to 121.53, 167.44 and 115.77

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Solution

The fourth proportional to 121.53, 167.44 and 115.77 is: 159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.53 : 167.44 = 115.77 : x
  2. Step 2: Convert to fraction form
    121.53/167.44 = 115.77/x
  3. Step 3: Cross multiply
    121.53x = 167.44 × 115.77
  4. Step 4: Simplify right side
    121.53x = 19,384.53
  5. Step 5: Solve for x
    x = 19,384.53/121.53
  6. Step 6: Final answer
    x = 159.50

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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.