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Finding the Fourth Proportional to 104.61, 144.36 and 65.80

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Solution

The fourth proportional to 104.61, 144.36 and 65.80 is: 90.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.61 : 144.36 = 65.80 : x
  2. Step 2: Convert to fraction form
    104.61/144.36 = 65.80/x
  3. Step 3: Cross multiply
    104.61x = 144.36 × 65.80
  4. Step 4: Simplify right side
    104.61x = 9,498.89
  5. Step 5: Solve for x
    x = 9,498.89/104.61
  6. Step 6: Final answer
    x = 90.80

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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.