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Finding the Fourth Proportional to 128.19, 177.08 and 122.12

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Solution

The fourth proportional to 128.19, 177.08 and 122.12 is: 168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.19 : 177.08 = 122.12 : x
  2. Step 2: Convert to fraction form
    128.19/177.08 = 122.12/x
  3. Step 3: Cross multiply
    128.19x = 177.08 × 122.12
  4. Step 4: Simplify right side
    128.19x = 21,623.51
  5. Step 5: Solve for x
    x = 21,623.51/128.19
  6. Step 6: Final answer
    x = 168.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.