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Finding the Fourth Proportional to 120.70, 180.96 and 96.58

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Solution

The fourth proportional to 120.70, 180.96 and 96.58 is: 144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.70 : 180.96 = 96.58 : x
  2. Step 2: Convert to fraction form
    120.70/180.96 = 96.58/x
  3. Step 3: Cross multiply
    120.70x = 180.96 × 96.58
  4. Step 4: Simplify right side
    120.70x = 17,477.12
  5. Step 5: Solve for x
    x = 17,477.12/120.70
  6. Step 6: Final answer
    x = 144.80

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Why These Related Problems?

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