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Finding the Fourth Proportional to 155.93, 215.17 and 97.00

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Solution

The fourth proportional to 155.93, 215.17 and 97.00 is: 133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.93 : 215.17 = 97.00 : x
  2. Step 2: Convert to fraction form
    155.93/215.17 = 97.00/x
  3. Step 3: Cross multiply
    155.93x = 215.17 × 97.00
  4. Step 4: Simplify right side
    155.93x = 20,872.47
  5. Step 5: Solve for x
    x = 20,872.47/155.93
  6. Step 6: Final answer
    x = 133.86

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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.