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Finding the Fourth Proportional to 104.20, 156 and 56.02

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Solution

The fourth proportional to 104.20, 156 and 56.02 is: 83.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.20 : 156 = 56.02 : x
  2. Step 2: Convert to fraction form
    104.20/156 = 56.02/x
  3. Step 3: Cross multiply
    104.20x = 156 × 56.02
  4. Step 4: Simplify right side
    104.20x = 8,739.12
  5. Step 5: Solve for x
    x = 8,739.12/104.20
  6. Step 6: Final answer
    x = 83.87

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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.