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Finding the Fourth Proportional to 155.86, 214.57 and 120.32

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Solution

The fourth proportional to 155.86, 214.57 and 120.32 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.86 : 214.57 = 120.32 : x
  2. Step 2: Convert to fraction form
    155.86/214.57 = 120.32/x
  3. Step 3: Cross multiply
    155.86x = 214.57 × 120.32
  4. Step 4: Simplify right side
    155.86x = 25,817.90
  5. Step 5: Solve for x
    x = 25,817.90/155.86
  6. Step 6: Final answer
    x = 165.65

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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.