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Finding the Fourth Proportional to 136.16, 205 and 122.40

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Solution

The fourth proportional to 136.16, 205 and 122.40 is: 184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.16 : 205 = 122.40 : x
  2. Step 2: Convert to fraction form
    136.16/205 = 122.40/x
  3. Step 3: Cross multiply
    136.16x = 205 × 122.40
  4. Step 4: Simplify right side
    136.16x = 25,092
  5. Step 5: Solve for x
    x = 25,092/136.16
  6. Step 6: Final answer
    x = 184.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.