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Finding the Fourth Proportional to 104.94, 144.75 and 66.06

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Solution

The fourth proportional to 104.94, 144.75 and 66.06 is: 91.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.94 : 144.75 = 66.06 : x
  2. Step 2: Convert to fraction form
    104.94/144.75 = 66.06/x
  3. Step 3: Cross multiply
    104.94x = 144.75 × 66.06
  4. Step 4: Simplify right side
    104.94x = 9,562.19
  5. Step 5: Solve for x
    x = 9,562.19/104.94
  6. Step 6: Final answer
    x = 91.12

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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.