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Finding the Fourth Proportional to 155.87, 214.73 and 109.15

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Solution

The fourth proportional to 155.87, 214.73 and 109.15 is: 150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.87 : 214.73 = 109.15 : x
  2. Step 2: Convert to fraction form
    155.87/214.73 = 109.15/x
  3. Step 3: Cross multiply
    155.87x = 214.73 × 109.15
  4. Step 4: Simplify right side
    155.87x = 23,437.77
  5. Step 5: Solve for x
    x = 23,437.77/155.87
  6. Step 6: Final answer
    x = 150.37

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Why These Related Problems?

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