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Finding the Fourth Proportional to 114.56, 157.91 and 105.78

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Solution

The fourth proportional to 114.56, 157.91 and 105.78 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 157.91 = 105.78 : x
  2. Step 2: Convert to fraction form
    114.56/157.91 = 105.78/x
  3. Step 3: Cross multiply
    114.56x = 157.91 × 105.78
  4. Step 4: Simplify right side
    114.56x = 16,703.19
  5. Step 5: Solve for x
    x = 16,703.19/114.56
  6. Step 6: Final answer
    x = 145.81

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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.