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Finding the Fourth Proportional to 97.45, 146.00 and 71.63

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Solution

The fourth proportional to 97.45, 146.00 and 71.63 is: 107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 146.00 = 71.63 : x
  2. Step 2: Convert to fraction form
    97.45/146.00 = 71.63/x
  3. Step 3: Cross multiply
    97.45x = 146.00 × 71.63
  4. Step 4: Simplify right side
    97.45x = 10,458.80
  5. Step 5: Solve for x
    x = 10,458.80/97.45
  6. Step 6: Final answer
    x = 107.32

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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.