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Finding the Fourth Proportional to 106.04, 158.76 and 94.04

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Solution

The fourth proportional to 106.04, 158.76 and 94.04 is: 140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 158.76 = 94.04 : x
  2. Step 2: Convert to fraction form
    106.04/158.76 = 94.04/x
  3. Step 3: Cross multiply
    106.04x = 158.76 × 94.04
  4. Step 4: Simplify right side
    106.04x = 14,929.79
  5. Step 5: Solve for x
    x = 14,929.79/106.04
  6. Step 6: Final answer
    x = 140.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.