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Finding the Fourth Proportional to 114.11, 157.63 and 92.38

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Solution

The fourth proportional to 114.11, 157.63 and 92.38 is: 127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.11 : 157.63 = 92.38 : x
  2. Step 2: Convert to fraction form
    114.11/157.63 = 92.38/x
  3. Step 3: Cross multiply
    114.11x = 157.63 × 92.38
  4. Step 4: Simplify right side
    114.11x = 14,561.07
  5. Step 5: Solve for x
    x = 14,561.07/114.11
  6. Step 6: Final answer
    x = 127.61

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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.