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Finding the Fourth Proportional to 157.46, 236.21 and 54.71

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Solution

The fourth proportional to 157.46, 236.21 and 54.71 is: 82.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.46 : 236.21 = 54.71 : x
  2. Step 2: Convert to fraction form
    157.46/236.21 = 54.71/x
  3. Step 3: Cross multiply
    157.46x = 236.21 × 54.71
  4. Step 4: Simplify right side
    157.46x = 12,922.79
  5. Step 5: Solve for x
    x = 12,922.79/157.46
  6. Step 6: Final answer
    x = 82.07

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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.