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Finding the Fourth Proportional to 97.21, 145.72 and 36.30

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Solution

The fourth proportional to 97.21, 145.72 and 36.30 is: 54.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.21 : 145.72 = 36.30 : x
  2. Step 2: Convert to fraction form
    97.21/145.72 = 36.30/x
  3. Step 3: Cross multiply
    97.21x = 145.72 × 36.30
  4. Step 4: Simplify right side
    97.21x = 5,289.45
  5. Step 5: Solve for x
    x = 5,289.45/97.21
  6. Step 6: Final answer
    x = 54.41

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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.