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Finding the Fourth Proportional to 154.51, 231.81 and 73.34

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Solution

The fourth proportional to 154.51, 231.81 and 73.34 is: 110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.51 : 231.81 = 73.34 : x
  2. Step 2: Convert to fraction form
    154.51/231.81 = 73.34/x
  3. Step 3: Cross multiply
    154.51x = 231.81 × 73.34
  4. Step 4: Simplify right side
    154.51x = 17,000.79
  5. Step 5: Solve for x
    x = 17,000.79/154.51
  6. Step 6: Final answer
    x = 110.03

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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.