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Finding the Fourth Proportional to 55.82, 83.70 and 23.78

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Solution

The fourth proportional to 55.82, 83.70 and 23.78 is: 35.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.82 : 83.70 = 23.78 : x
  2. Step 2: Convert to fraction form
    55.82/83.70 = 23.78/x
  3. Step 3: Cross multiply
    55.82x = 83.70 × 23.78
  4. Step 4: Simplify right side
    55.82x = 1,990.39
  5. Step 5: Solve for x
    x = 1,990.39/55.82
  6. Step 6: Final answer
    x = 35.66

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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.