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Finding the Fourth Proportional to 121.55, 182.26 and 53.03

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Solution

The fourth proportional to 121.55, 182.26 and 53.03 is: 79.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.55 : 182.26 = 53.03 : x
  2. Step 2: Convert to fraction form
    121.55/182.26 = 53.03/x
  3. Step 3: Cross multiply
    121.55x = 182.26 × 53.03
  4. Step 4: Simplify right side
    121.55x = 9,665.25
  5. Step 5: Solve for x
    x = 9,665.25/121.55
  6. Step 6: Final answer
    x = 79.52

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