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Finding the Fourth Proportional to 97.15, 145.69 and 53.84

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Solution

The fourth proportional to 97.15, 145.69 and 53.84 is: 80.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.15 : 145.69 = 53.84 : x
  2. Step 2: Convert to fraction form
    97.15/145.69 = 53.84/x
  3. Step 3: Cross multiply
    97.15x = 145.69 × 53.84
  4. Step 4: Simplify right side
    97.15x = 7,843.22
  5. Step 5: Solve for x
    x = 7,843.22/97.15
  6. Step 6: Final answer
    x = 80.74

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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.