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Finding the Fourth Proportional to 155.89, 215.14 and 90.41

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Solution

The fourth proportional to 155.89, 215.14 and 90.41 is: 124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.89 : 215.14 = 90.41 : x
  2. Step 2: Convert to fraction form
    155.89/215.14 = 90.41/x
  3. Step 3: Cross multiply
    155.89x = 215.14 × 90.41
  4. Step 4: Simplify right side
    155.89x = 19,449.73
  5. Step 5: Solve for x
    x = 19,449.73/155.89
  6. Step 6: Final answer
    x = 124.77

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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.