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Finding the Fourth Proportional to 158.59, 219.04 and 106.05

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Solution

The fourth proportional to 158.59, 219.04 and 106.05 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.59 : 219.04 = 106.05 : x
  2. Step 2: Convert to fraction form
    158.59/219.04 = 106.05/x
  3. Step 3: Cross multiply
    158.59x = 219.04 × 106.05
  4. Step 4: Simplify right side
    158.59x = 23,229.19
  5. Step 5: Solve for x
    x = 23,229.19/158.59
  6. Step 6: Final answer
    x = 146.47

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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.