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Finding the Fourth Proportional to 106.94, 147.61 and 74.19

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Solution

The fourth proportional to 106.94, 147.61 and 74.19 is: 102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.94 : 147.61 = 74.19 : x
  2. Step 2: Convert to fraction form
    106.94/147.61 = 74.19/x
  3. Step 3: Cross multiply
    106.94x = 147.61 × 74.19
  4. Step 4: Simplify right side
    106.94x = 10,951.19
  5. Step 5: Solve for x
    x = 10,951.19/106.94
  6. Step 6: Final answer
    x = 102.40

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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.