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Finding the Fourth Proportional to 135.03, 185.17 and 120.45

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Solution

The fourth proportional to 135.03, 185.17 and 120.45 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.03 : 185.17 = 120.45 : x
  2. Step 2: Convert to fraction form
    135.03/185.17 = 120.45/x
  3. Step 3: Cross multiply
    135.03x = 185.17 × 120.45
  4. Step 4: Simplify right side
    135.03x = 22,303.43
  5. Step 5: Solve for x
    x = 22,303.43/135.03
  6. Step 6: Final answer
    x = 165.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.