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Finding the Fourth Proportional to 97.23, 145.89 and 43.14

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Solution

The fourth proportional to 97.23, 145.89 and 43.14 is: 64.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.23 : 145.89 = 43.14 : x
  2. Step 2: Convert to fraction form
    97.23/145.89 = 43.14/x
  3. Step 3: Cross multiply
    97.23x = 145.89 × 43.14
  4. Step 4: Simplify right side
    97.23x = 6,293.69
  5. Step 5: Solve for x
    x = 6,293.69/97.23
  6. Step 6: Final answer
    x = 64.73

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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.