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Finding the Fourth Proportional to 104.58, 155.79 and 97.94

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Solution

The fourth proportional to 104.58, 155.79 and 97.94 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.58 : 155.79 = 97.94 : x
  2. Step 2: Convert to fraction form
    104.58/155.79 = 97.94/x
  3. Step 3: Cross multiply
    104.58x = 155.79 × 97.94
  4. Step 4: Simplify right side
    104.58x = 15,257.29
  5. Step 5: Solve for x
    x = 15,257.29/104.58
  6. Step 6: Final answer
    x = 145.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.