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Finding the Fourth Proportional to 97.24, 145.86 and 25.09

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Solution

The fourth proportional to 97.24, 145.86 and 25.09 is: 37.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.24 : 145.86 = 25.09 : x
  2. Step 2: Convert to fraction form
    97.24/145.86 = 25.09/x
  3. Step 3: Cross multiply
    97.24x = 145.86 × 25.09
  4. Step 4: Simplify right side
    97.24x = 3,659.63
  5. Step 5: Solve for x
    x = 3,659.63/97.24
  6. Step 6: Final answer
    x = 37.64

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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.