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Finding the Fourth Proportional to 114.96, 157.71 and 113.34

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Solution

The fourth proportional to 114.96, 157.71 and 113.34 is: 155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 157.71 = 113.34 : x
  2. Step 2: Convert to fraction form
    114.96/157.71 = 113.34/x
  3. Step 3: Cross multiply
    114.96x = 157.71 × 113.34
  4. Step 4: Simplify right side
    114.96x = 17,874.85
  5. Step 5: Solve for x
    x = 17,874.85/114.96
  6. Step 6: Final answer
    x = 155.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.