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Finding the Fourth Proportional to 155.61, 214.62 and 122.81

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Solution

The fourth proportional to 155.61, 214.62 and 122.81 is: 169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.61 : 214.62 = 122.81 : x
  2. Step 2: Convert to fraction form
    155.61/214.62 = 122.81/x
  3. Step 3: Cross multiply
    155.61x = 214.62 × 122.81
  4. Step 4: Simplify right side
    155.61x = 26,356.41
  5. Step 5: Solve for x
    x = 26,356.41/155.61
  6. Step 6: Final answer
    x = 169.37

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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.