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Finding the Fourth Proportional to 155.88, 214.99 and 100.59

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Solution

The fourth proportional to 155.88, 214.99 and 100.59 is: 138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.88 : 214.99 = 100.59 : x
  2. Step 2: Convert to fraction form
    155.88/214.99 = 100.59/x
  3. Step 3: Cross multiply
    155.88x = 214.99 × 100.59
  4. Step 4: Simplify right side
    155.88x = 21,625.84
  5. Step 5: Solve for x
    x = 21,625.84/155.88
  6. Step 6: Final answer
    x = 138.73

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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.