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Finding the Fourth Proportional to 135.45, 204.08 and 117.23

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Solution

The fourth proportional to 135.45, 204.08 and 117.23 is: 176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.45 : 204.08 = 117.23 : x
  2. Step 2: Convert to fraction form
    135.45/204.08 = 117.23/x
  3. Step 3: Cross multiply
    135.45x = 204.08 × 117.23
  4. Step 4: Simplify right side
    135.45x = 23,923.35
  5. Step 5: Solve for x
    x = 23,923.35/135.45
  6. Step 6: Final answer
    x = 176.62

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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.