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Finding the Fourth Proportional to 56.09, 84.20 and 35.84

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Solution

The fourth proportional to 56.09, 84.20 and 35.84 is: 53.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 84.20 = 35.84 : x
  2. Step 2: Convert to fraction form
    56.09/84.20 = 35.84/x
  3. Step 3: Cross multiply
    56.09x = 84.20 × 35.84
  4. Step 4: Simplify right side
    56.09x = 3,017.13
  5. Step 5: Solve for x
    x = 3,017.13/56.09
  6. Step 6: Final answer
    x = 53.80

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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.