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Finding the Fourth Proportional to 112.89, 155.70 and 89.55

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Solution

The fourth proportional to 112.89, 155.70 and 89.55 is: 123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.89 : 155.70 = 89.55 : x
  2. Step 2: Convert to fraction form
    112.89/155.70 = 89.55/x
  3. Step 3: Cross multiply
    112.89x = 155.70 × 89.55
  4. Step 4: Simplify right side
    112.89x = 13,942.94
  5. Step 5: Solve for x
    x = 13,942.94/112.89
  6. Step 6: Final answer
    x = 123.51

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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.