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Finding the Fourth Proportional to 97.85, 146.78 and 37.00

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Solution

The fourth proportional to 97.85, 146.78 and 37.00 is: 55.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.85 : 146.78 = 37.00 : x
  2. Step 2: Convert to fraction form
    97.85/146.78 = 37.00/x
  3. Step 3: Cross multiply
    97.85x = 146.78 × 37.00
  4. Step 4: Simplify right side
    97.85x = 5,429.94
  5. Step 5: Solve for x
    x = 5,429.94/97.85
  6. Step 6: Final answer
    x = 55.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.