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Finding the Fourth Proportional to 155.66, 214.67 and 113.57

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Solution

The fourth proportional to 155.66, 214.67 and 113.57 is: 156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.66 : 214.67 = 113.57 : x
  2. Step 2: Convert to fraction form
    155.66/214.67 = 113.57/x
  3. Step 3: Cross multiply
    155.66x = 214.67 × 113.57
  4. Step 4: Simplify right side
    155.66x = 24,378.43
  5. Step 5: Solve for x
    x = 24,378.43/155.66
  6. Step 6: Final answer
    x = 156.62

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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.