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Finding the Fourth Proportional to 105.46, 145.48 and 66.63

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Solution

The fourth proportional to 105.46, 145.48 and 66.63 is: 91.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 145.48 = 66.63 : x
  2. Step 2: Convert to fraction form
    105.46/145.48 = 66.63/x
  3. Step 3: Cross multiply
    105.46x = 145.48 × 66.63
  4. Step 4: Simplify right side
    105.46x = 9,693.33
  5. Step 5: Solve for x
    x = 9,693.33/105.46
  6. Step 6: Final answer
    x = 91.91

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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.