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Finding the Fourth Proportional to 56.01, 83.84 and 36.70

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Solution

The fourth proportional to 56.01, 83.84 and 36.70 is: 54.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.01 : 83.84 = 36.70 : x
  2. Step 2: Convert to fraction form
    56.01/83.84 = 36.70/x
  3. Step 3: Cross multiply
    56.01x = 83.84 × 36.70
  4. Step 4: Simplify right side
    56.01x = 3,077.01
  5. Step 5: Solve for x
    x = 3,077.01/56.01
  6. Step 6: Final answer
    x = 54.94

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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.