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Finding the Fourth Proportional to 97.33, 145.93 and 36.42

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Solution

The fourth proportional to 97.33, 145.93 and 36.42 is: 54.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.33 : 145.93 = 36.42 : x
  2. Step 2: Convert to fraction form
    97.33/145.93 = 36.42/x
  3. Step 3: Cross multiply
    97.33x = 145.93 × 36.42
  4. Step 4: Simplify right side
    97.33x = 5,315.23
  5. Step 5: Solve for x
    x = 5,315.23/97.33
  6. Step 6: Final answer
    x = 54.61

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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.