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Finding the Fourth Proportional to 104.93, 144.71 and 72.17

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Solution

The fourth proportional to 104.93, 144.71 and 72.17 is: 99.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.93 : 144.71 = 72.17 : x
  2. Step 2: Convert to fraction form
    104.93/144.71 = 72.17/x
  3. Step 3: Cross multiply
    104.93x = 144.71 × 72.17
  4. Step 4: Simplify right side
    104.93x = 10,442.64
  5. Step 5: Solve for x
    x = 10,442.64/104.93
  6. Step 6: Final answer
    x = 99.52

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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.