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Finding the Fourth Proportional to 104.80, 144.66 and 72.10

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Solution

The fourth proportional to 104.80, 144.66 and 72.10 is: 99.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.80 : 144.66 = 72.10 : x
  2. Step 2: Convert to fraction form
    104.80/144.66 = 72.10/x
  3. Step 3: Cross multiply
    104.80x = 144.66 × 72.10
  4. Step 4: Simplify right side
    104.80x = 10,429.99
  5. Step 5: Solve for x
    x = 10,429.99/104.80
  6. Step 6: Final answer
    x = 99.52

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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.