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Finding the Fourth Proportional to 104.88, 144.68 and 72.08

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Solution

The fourth proportional to 104.88, 144.68 and 72.08 is: 99.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.88 : 144.68 = 72.08 : x
  2. Step 2: Convert to fraction form
    104.88/144.68 = 72.08/x
  3. Step 3: Cross multiply
    104.88x = 144.68 × 72.08
  4. Step 4: Simplify right side
    104.88x = 10,427.45
  5. Step 5: Solve for x
    x = 10,427.45/104.88
  6. Step 6: Final answer
    x = 99.42

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