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Finding the Fourth Proportional to 157.80, 236.62 and 84.68

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Solution

The fourth proportional to 157.80, 236.62 and 84.68 is: 126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 236.62 = 84.68 : x
  2. Step 2: Convert to fraction form
    157.80/236.62 = 84.68/x
  3. Step 3: Cross multiply
    157.80x = 236.62 × 84.68
  4. Step 4: Simplify right side
    157.80x = 20,036.98
  5. Step 5: Solve for x
    x = 20,036.98/157.80
  6. Step 6: Final answer
    x = 126.98

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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.