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Finding the Fourth Proportional to 149.06, 205.88 and 110.45

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Solution

The fourth proportional to 149.06, 205.88 and 110.45 is: 152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.06 : 205.88 = 110.45 : x
  2. Step 2: Convert to fraction form
    149.06/205.88 = 110.45/x
  3. Step 3: Cross multiply
    149.06x = 205.88 × 110.45
  4. Step 4: Simplify right side
    149.06x = 22,739.41
  5. Step 5: Solve for x
    x = 22,739.41/149.06
  6. Step 6: Final answer
    x = 152.55

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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.