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Finding the Fourth Proportional to 121.78, 182.52 and 48.58

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Solution

The fourth proportional to 121.78, 182.52 and 48.58 is: 72.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.78 : 182.52 = 48.58 : x
  2. Step 2: Convert to fraction form
    121.78/182.52 = 48.58/x
  3. Step 3: Cross multiply
    121.78x = 182.52 × 48.58
  4. Step 4: Simplify right side
    121.78x = 8,866.37
  5. Step 5: Solve for x
    x = 8,866.37/121.78
  6. Step 6: Final answer
    x = 72.81

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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.