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Finding the Fourth Proportional to 129.35, 192.80 and 122.06

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Solution

The fourth proportional to 129.35, 192.80 and 122.06 is: 181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.35 : 192.80 = 122.06 : x
  2. Step 2: Convert to fraction form
    129.35/192.80 = 122.06/x
  3. Step 3: Cross multiply
    129.35x = 192.80 × 122.06
  4. Step 4: Simplify right side
    129.35x = 23,533.17
  5. Step 5: Solve for x
    x = 23,533.17/129.35
  6. Step 6: Final answer
    x = 181.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.