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Finding the Fourth Proportional to 157.40, 236.04 and 96.44

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Solution

The fourth proportional to 157.40, 236.04 and 96.44 is: 144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 236.04 = 96.44 : x
  2. Step 2: Convert to fraction form
    157.40/236.04 = 96.44/x
  3. Step 3: Cross multiply
    157.40x = 236.04 × 96.44
  4. Step 4: Simplify right side
    157.40x = 22,763.70
  5. Step 5: Solve for x
    x = 22,763.70/157.40
  6. Step 6: Final answer
    x = 144.62

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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.