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Finding the Fourth Proportional to 104.70, 144.50 and 61.05

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Solution

The fourth proportional to 104.70, 144.50 and 61.05 is: 84.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.70 : 144.50 = 61.05 : x
  2. Step 2: Convert to fraction form
    104.70/144.50 = 61.05/x
  3. Step 3: Cross multiply
    104.70x = 144.50 × 61.05
  4. Step 4: Simplify right side
    104.70x = 8,821.42
  5. Step 5: Solve for x
    x = 8,821.42/104.70
  6. Step 6: Final answer
    x = 84.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.