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Finding the Fourth Proportional to 157.93, 236.76 and 103.14

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Solution

The fourth proportional to 157.93, 236.76 and 103.14 is: 154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.93 : 236.76 = 103.14 : x
  2. Step 2: Convert to fraction form
    157.93/236.76 = 103.14/x
  3. Step 3: Cross multiply
    157.93x = 236.76 × 103.14
  4. Step 4: Simplify right side
    157.93x = 24,419.43
  5. Step 5: Solve for x
    x = 24,419.43/157.93
  6. Step 6: Final answer
    x = 154.62

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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.