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Finding the Fourth Proportional to 155.98, 215.27 and 97.75

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Solution

The fourth proportional to 155.98, 215.27 and 97.75 is: 134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.98 : 215.27 = 97.75 : x
  2. Step 2: Convert to fraction form
    155.98/215.27 = 97.75/x
  3. Step 3: Cross multiply
    155.98x = 215.27 × 97.75
  4. Step 4: Simplify right side
    155.98x = 21,042.64
  5. Step 5: Solve for x
    x = 21,042.64/155.98
  6. Step 6: Final answer
    x = 134.91

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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.