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Finding the Fourth Proportional to 97.09, 145.64 and 36.20

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Solution

The fourth proportional to 97.09, 145.64 and 36.20 is: 54.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.09 : 145.64 = 36.20 : x
  2. Step 2: Convert to fraction form
    97.09/145.64 = 36.20/x
  3. Step 3: Cross multiply
    97.09x = 145.64 × 36.20
  4. Step 4: Simplify right side
    97.09x = 5,272.17
  5. Step 5: Solve for x
    x = 5,272.17/97.09
  6. Step 6: Final answer
    x = 54.30

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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.