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Finding the Fourth Proportional to 157.93, 218.03 and 102.75

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Solution

The fourth proportional to 157.93, 218.03 and 102.75 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.93 : 218.03 = 102.75 : x
  2. Step 2: Convert to fraction form
    157.93/218.03 = 102.75/x
  3. Step 3: Cross multiply
    157.93x = 218.03 × 102.75
  4. Step 4: Simplify right side
    157.93x = 22,402.58
  5. Step 5: Solve for x
    x = 22,402.58/157.93
  6. Step 6: Final answer
    x = 141.85

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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.