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Finding the Fourth Proportional to 55.50, 83.26 and 23.42

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Solution

The fourth proportional to 55.50, 83.26 and 23.42 is: 35.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.50 : 83.26 = 23.42 : x
  2. Step 2: Convert to fraction form
    55.50/83.26 = 23.42/x
  3. Step 3: Cross multiply
    55.50x = 83.26 × 23.42
  4. Step 4: Simplify right side
    55.50x = 1,949.95
  5. Step 5: Solve for x
    x = 1,949.95/55.50
  6. Step 6: Final answer
    x = 35.13

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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.