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Finding the Fourth Proportional to 128.40, 192.24 and 121.02

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Solution

The fourth proportional to 128.40, 192.24 and 121.02 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.40 : 192.24 = 121.02 : x
  2. Step 2: Convert to fraction form
    128.40/192.24 = 121.02/x
  3. Step 3: Cross multiply
    128.40x = 192.24 × 121.02
  4. Step 4: Simplify right side
    128.40x = 23,264.88
  5. Step 5: Solve for x
    x = 23,264.88/128.40
  6. Step 6: Final answer
    x = 181.19

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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.