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Finding the Fourth Proportional to 121.94, 182.88 and 40.77

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Solution

The fourth proportional to 121.94, 182.88 and 40.77 is: 61.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.94 : 182.88 = 40.77 : x
  2. Step 2: Convert to fraction form
    121.94/182.88 = 40.77/x
  3. Step 3: Cross multiply
    121.94x = 182.88 × 40.77
  4. Step 4: Simplify right side
    121.94x = 7,456.02
  5. Step 5: Solve for x
    x = 7,456.02/121.94
  6. Step 6: Final answer
    x = 61.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.