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Finding the Fourth Proportional to 155.69, 214.92 and 106.82

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Solution

The fourth proportional to 155.69, 214.92 and 106.82 is: 147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.69 : 214.92 = 106.82 : x
  2. Step 2: Convert to fraction form
    155.69/214.92 = 106.82/x
  3. Step 3: Cross multiply
    155.69x = 214.92 × 106.82
  4. Step 4: Simplify right side
    155.69x = 22,957.75
  5. Step 5: Solve for x
    x = 22,957.75/155.69
  6. Step 6: Final answer
    x = 147.46

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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.