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Finding the Fourth Proportional to 155.67, 233.41 and 74.41

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Solution

The fourth proportional to 155.67, 233.41 and 74.41 is: 111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.67 : 233.41 = 74.41 : x
  2. Step 2: Convert to fraction form
    155.67/233.41 = 74.41/x
  3. Step 3: Cross multiply
    155.67x = 233.41 × 74.41
  4. Step 4: Simplify right side
    155.67x = 17,368.04
  5. Step 5: Solve for x
    x = 17,368.04/155.67
  6. Step 6: Final answer
    x = 111.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.