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Finding the Fourth Proportional to 157.68, 236.32 and 71

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Solution

The fourth proportional to 157.68, 236.32 and 71 is: 106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.68 : 236.32 = 71 : x
  2. Step 2: Convert to fraction form
    157.68/236.32 = 71/x
  3. Step 3: Cross multiply
    157.68x = 236.32 × 71
  4. Step 4: Simplify right side
    157.68x = 16,778.72
  5. Step 5: Solve for x
    x = 16,778.72/157.68
  6. Step 6: Final answer
    x = 106.41

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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.