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Finding the Fourth Proportional to 114.98, 158.37 and 106.33

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Solution

The fourth proportional to 114.98, 158.37 and 106.33 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 158.37 = 106.33 : x
  2. Step 2: Convert to fraction form
    114.98/158.37 = 106.33/x
  3. Step 3: Cross multiply
    114.98x = 158.37 × 106.33
  4. Step 4: Simplify right side
    114.98x = 16,839.48
  5. Step 5: Solve for x
    x = 16,839.48/114.98
  6. Step 6: Final answer
    x = 146.46

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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.