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Finding the Fourth Proportional to 112.43, 155 and 73.02

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Solution

The fourth proportional to 112.43, 155 and 73.02 is: 100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.43 : 155 = 73.02 : x
  2. Step 2: Convert to fraction form
    112.43/155 = 73.02/x
  3. Step 3: Cross multiply
    112.43x = 155 × 73.02
  4. Step 4: Simplify right side
    112.43x = 11,317.33
  5. Step 5: Solve for x
    x = 11,317.33/112.43
  6. Step 6: Final answer
    x = 100.67

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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.