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Finding the Fourth Proportional to 114.54, 157.73 and 102.26

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Solution

The fourth proportional to 114.54, 157.73 and 102.26 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 157.73 = 102.26 : x
  2. Step 2: Convert to fraction form
    114.54/157.73 = 102.26/x
  3. Step 3: Cross multiply
    114.54x = 157.73 × 102.26
  4. Step 4: Simplify right side
    114.54x = 16,128.17
  5. Step 5: Solve for x
    x = 16,128.17/114.54
  6. Step 6: Final answer
    x = 140.81

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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.