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Finding the Fourth Proportional to 155.58, 214.83 and 106.62

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Solution

The fourth proportional to 155.58, 214.83 and 106.62 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.58 : 214.83 = 106.62 : x
  2. Step 2: Convert to fraction form
    155.58/214.83 = 106.62/x
  3. Step 3: Cross multiply
    155.58x = 214.83 × 106.62
  4. Step 4: Simplify right side
    155.58x = 22,905.17
  5. Step 5: Solve for x
    x = 22,905.17/155.58
  6. Step 6: Final answer
    x = 147.22

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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.