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Finding the Fourth Proportional to 114.26, 157.68 and 75.38

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Solution

The fourth proportional to 114.26, 157.68 and 75.38 is: 104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.26 : 157.68 = 75.38 : x
  2. Step 2: Convert to fraction form
    114.26/157.68 = 75.38/x
  3. Step 3: Cross multiply
    114.26x = 157.68 × 75.38
  4. Step 4: Simplify right side
    114.26x = 11,885.13
  5. Step 5: Solve for x
    x = 11,885.13/114.26
  6. Step 6: Final answer
    x = 104.02

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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.