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Finding the Fourth Proportional to 114.21, 158.36 and 108.06

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Solution

The fourth proportional to 114.21, 158.36 and 108.06 is: 149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.21 : 158.36 = 108.06 : x
  2. Step 2: Convert to fraction form
    114.21/158.36 = 108.06/x
  3. Step 3: Cross multiply
    114.21x = 158.36 × 108.06
  4. Step 4: Simplify right side
    114.21x = 17,111.84
  5. Step 5: Solve for x
    x = 17,111.84/114.21
  6. Step 6: Final answer
    x = 149.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.