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Finding the Fourth Proportional to 97.22, 145.72 and 53.86

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Solution

The fourth proportional to 97.22, 145.72 and 53.86 is: 80.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.22 : 145.72 = 53.86 : x
  2. Step 2: Convert to fraction form
    97.22/145.72 = 53.86/x
  3. Step 3: Cross multiply
    97.22x = 145.72 × 53.86
  4. Step 4: Simplify right side
    97.22x = 7,848.48
  5. Step 5: Solve for x
    x = 7,848.48/97.22
  6. Step 6: Final answer
    x = 80.73

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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.