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Finding the Fourth Proportional to 104.27, 156.27 and 55.40

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Solution

The fourth proportional to 104.27, 156.27 and 55.40 is: 83.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.27 : 156.27 = 55.40 : x
  2. Step 2: Convert to fraction form
    104.27/156.27 = 55.40/x
  3. Step 3: Cross multiply
    104.27x = 156.27 × 55.40
  4. Step 4: Simplify right side
    104.27x = 8,656.58
  5. Step 5: Solve for x
    x = 8,656.58/104.27
  6. Step 6: Final answer
    x = 83.02

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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.