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Finding the Fourth Proportional to 120.90, 180.43 and 102.90

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Solution

The fourth proportional to 120.90, 180.43 and 102.90 is: 153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.90 : 180.43 = 102.90 : x
  2. Step 2: Convert to fraction form
    120.90/180.43 = 102.90/x
  3. Step 3: Cross multiply
    120.90x = 180.43 × 102.90
  4. Step 4: Simplify right side
    120.90x = 18,566.25
  5. Step 5: Solve for x
    x = 18,566.25/120.90
  6. Step 6: Final answer
    x = 153.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.