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Finding the Fourth Proportional to 155.88, 215.03 and 109.23

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Solution

The fourth proportional to 155.88, 215.03 and 109.23 is: 150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.88 : 215.03 = 109.23 : x
  2. Step 2: Convert to fraction form
    155.88/215.03 = 109.23/x
  3. Step 3: Cross multiply
    155.88x = 215.03 × 109.23
  4. Step 4: Simplify right side
    155.88x = 23,487.18
  5. Step 5: Solve for x
    x = 23,487.18/155.88
  6. Step 6: Final answer
    x = 150.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.