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Finding the Fourth Proportional to 157.82, 236.89 and 71.22

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Solution

The fourth proportional to 157.82, 236.89 and 71.22 is: 106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.82 : 236.89 = 71.22 : x
  2. Step 2: Convert to fraction form
    157.82/236.89 = 71.22/x
  3. Step 3: Cross multiply
    157.82x = 236.89 × 71.22
  4. Step 4: Simplify right side
    157.82x = 16,871.31
  5. Step 5: Solve for x
    x = 16,871.31/157.82
  6. Step 6: Final answer
    x = 106.90

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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.