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Finding the Fourth Proportional to 157.96, 218.01 and 92.50

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Solution

The fourth proportional to 157.96, 218.01 and 92.50 is: 127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.96 : 218.01 = 92.50 : x
  2. Step 2: Convert to fraction form
    157.96/218.01 = 92.50/x
  3. Step 3: Cross multiply
    157.96x = 218.01 × 92.50
  4. Step 4: Simplify right side
    157.96x = 20,165.93
  5. Step 5: Solve for x
    x = 20,165.93/157.96
  6. Step 6: Final answer
    x = 127.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.