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Finding the Fourth Proportional to 149.16, 205.86 and 105.66

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Solution

The fourth proportional to 149.16, 205.86 and 105.66 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 205.86 = 105.66 : x
  2. Step 2: Convert to fraction form
    149.16/205.86 = 105.66/x
  3. Step 3: Cross multiply
    149.16x = 205.86 × 105.66
  4. Step 4: Simplify right side
    149.16x = 21,751.17
  5. Step 5: Solve for x
    x = 21,751.17/149.16
  6. Step 6: Final answer
    x = 145.82

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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.