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Finding the Fourth Proportional to 97.23, 145.77 and 66.86

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Solution

The fourth proportional to 97.23, 145.77 and 66.86 is: 100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.23 : 145.77 = 66.86 : x
  2. Step 2: Convert to fraction form
    97.23/145.77 = 66.86/x
  3. Step 3: Cross multiply
    97.23x = 145.77 × 66.86
  4. Step 4: Simplify right side
    97.23x = 9,745.45
  5. Step 5: Solve for x
    x = 9,745.45/97.23
  6. Step 6: Final answer
    x = 100.23

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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.