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Finding the Fourth Proportional to 155.26, 233.01 and 109.51

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Solution

The fourth proportional to 155.26, 233.01 and 109.51 is: 164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.26 : 233.01 = 109.51 : x
  2. Step 2: Convert to fraction form
    155.26/233.01 = 109.51/x
  3. Step 3: Cross multiply
    155.26x = 233.01 × 109.51
  4. Step 4: Simplify right side
    155.26x = 25,516.93
  5. Step 5: Solve for x
    x = 25,516.93/155.26
  6. Step 6: Final answer
    x = 164.35

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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.