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Finding the Fourth Proportional to 114.96, 173.28 and 104.16

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Solution

The fourth proportional to 114.96, 173.28 and 104.16 is: 157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 173.28 = 104.16 : x
  2. Step 2: Convert to fraction form
    114.96/173.28 = 104.16/x
  3. Step 3: Cross multiply
    114.96x = 173.28 × 104.16
  4. Step 4: Simplify right side
    114.96x = 18,048.84
  5. Step 5: Solve for x
    x = 18,048.84/114.96
  6. Step 6: Final answer
    x = 157.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.