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Finding the Fourth Proportional to 157.44, 216.99 and 108.23

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Solution

The fourth proportional to 157.44, 216.99 and 108.23 is: 149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.44 : 216.99 = 108.23 : x
  2. Step 2: Convert to fraction form
    157.44/216.99 = 108.23/x
  3. Step 3: Cross multiply
    157.44x = 216.99 × 108.23
  4. Step 4: Simplify right side
    157.44x = 23,485.10
  5. Step 5: Solve for x
    x = 23,485.10/157.44
  6. Step 6: Final answer
    x = 149.17

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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.