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Finding the Fourth Proportional to 114.14, 157.42 and 74.75

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Solution

The fourth proportional to 114.14, 157.42 and 74.75 is: 103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 157.42 = 74.75 : x
  2. Step 2: Convert to fraction form
    114.14/157.42 = 74.75/x
  3. Step 3: Cross multiply
    114.14x = 157.42 × 74.75
  4. Step 4: Simplify right side
    114.14x = 11,767.15
  5. Step 5: Solve for x
    x = 11,767.15/114.14
  6. Step 6: Final answer
    x = 103.09

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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.