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Finding the Fourth Proportional to 97.33, 145.59 and 83.97

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Solution

The fourth proportional to 97.33, 145.59 and 83.97 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.33 : 145.59 = 83.97 : x
  2. Step 2: Convert to fraction form
    97.33/145.59 = 83.97/x
  3. Step 3: Cross multiply
    97.33x = 145.59 × 83.97
  4. Step 4: Simplify right side
    97.33x = 12,225.19
  5. Step 5: Solve for x
    x = 12,225.19/97.33
  6. Step 6: Final answer
    x = 125.61

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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.