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Finding the Fourth Proportional to 121.72, 182.36 and 102.58

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Solution

The fourth proportional to 121.72, 182.36 and 102.58 is: 153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.72 : 182.36 = 102.58 : x
  2. Step 2: Convert to fraction form
    121.72/182.36 = 102.58/x
  3. Step 3: Cross multiply
    121.72x = 182.36 × 102.58
  4. Step 4: Simplify right side
    121.72x = 18,705.98
  5. Step 5: Solve for x
    x = 18,705.98/121.72
  6. Step 6: Final answer
    x = 153.68

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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.