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Finding the Fourth Proportional to 104.55, 156.80 and 61.23

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Solution

The fourth proportional to 104.55, 156.80 and 61.23 is: 91.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.55 : 156.80 = 61.23 : x
  2. Step 2: Convert to fraction form
    104.55/156.80 = 61.23/x
  3. Step 3: Cross multiply
    104.55x = 156.80 × 61.23
  4. Step 4: Simplify right side
    104.55x = 9,600.86
  5. Step 5: Solve for x
    x = 9,600.86/104.55
  6. Step 6: Final answer
    x = 91.83

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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.