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Finding the Fourth Proportional to 155.81, 215.14 and 116.91

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Solution

The fourth proportional to 155.81, 215.14 and 116.91 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.81 : 215.14 = 116.91 : x
  2. Step 2: Convert to fraction form
    155.81/215.14 = 116.91/x
  3. Step 3: Cross multiply
    155.81x = 215.14 × 116.91
  4. Step 4: Simplify right side
    155.81x = 25,152.02
  5. Step 5: Solve for x
    x = 25,152.02/155.81
  6. Step 6: Final answer
    x = 161.43

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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.