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Finding the Fourth Proportional to 154.10, 231.05 and 73.06

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Solution

The fourth proportional to 154.10, 231.05 and 73.06 is: 109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.10 : 231.05 = 73.06 : x
  2. Step 2: Convert to fraction form
    154.10/231.05 = 73.06/x
  3. Step 3: Cross multiply
    154.10x = 231.05 × 73.06
  4. Step 4: Simplify right side
    154.10x = 16,880.51
  5. Step 5: Solve for x
    x = 16,880.51/154.10
  6. Step 6: Final answer
    x = 109.54

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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.