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Finding the Fourth Proportional to 120.62, 180 and 102.33

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Solution

The fourth proportional to 120.62, 180 and 102.33 is: 152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.62 : 180 = 102.33 : x
  2. Step 2: Convert to fraction form
    120.62/180 = 102.33/x
  3. Step 3: Cross multiply
    120.62x = 180 × 102.33
  4. Step 4: Simplify right side
    120.62x = 18,419.40
  5. Step 5: Solve for x
    x = 18,419.40/120.62
  6. Step 6: Final answer
    x = 152.70

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Why These Related Problems?

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