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Finding the Fourth Proportional to 155.72, 214.94 and 106.61

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Solution

The fourth proportional to 155.72, 214.94 and 106.61 is: 147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.72 : 214.94 = 106.61 : x
  2. Step 2: Convert to fraction form
    155.72/214.94 = 106.61/x
  3. Step 3: Cross multiply
    155.72x = 214.94 × 106.61
  4. Step 4: Simplify right side
    155.72x = 22,914.22
  5. Step 5: Solve for x
    x = 22,914.22/155.72
  6. Step 6: Final answer
    x = 147.15

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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.