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Finding the Fourth Proportional to 149.51, 206.24 and 105.23

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Solution

The fourth proportional to 149.51, 206.24 and 105.23 is: 145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 206.24 = 105.23 : x
  2. Step 2: Convert to fraction form
    149.51/206.24 = 105.23/x
  3. Step 3: Cross multiply
    149.51x = 206.24 × 105.23
  4. Step 4: Simplify right side
    149.51x = 21,701.08
  5. Step 5: Solve for x
    x = 21,701.08/149.51
  6. Step 6: Final answer
    x = 145.15

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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.