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Finding the Fourth Proportional to 114.35, 157.84 and 92.21

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Solution

The fourth proportional to 114.35, 157.84 and 92.21 is: 127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.35 : 157.84 = 92.21 : x
  2. Step 2: Convert to fraction form
    114.35/157.84 = 92.21/x
  3. Step 3: Cross multiply
    114.35x = 157.84 × 92.21
  4. Step 4: Simplify right side
    114.35x = 14,554.59
  5. Step 5: Solve for x
    x = 14,554.59/114.35
  6. Step 6: Final answer
    x = 127.28

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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.