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Finding the Fourth Proportional to 136.18, 204.01 and 90.34

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Solution

The fourth proportional to 136.18, 204.01 and 90.34 is: 135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.18 : 204.01 = 90.34 : x
  2. Step 2: Convert to fraction form
    136.18/204.01 = 90.34/x
  3. Step 3: Cross multiply
    136.18x = 204.01 × 90.34
  4. Step 4: Simplify right side
    136.18x = 18,430.26
  5. Step 5: Solve for x
    x = 18,430.26/136.18
  6. Step 6: Final answer
    x = 135.34

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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.