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Finding the Fourth Proportional to 114.28, 170.94 and 105.64

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Solution

The fourth proportional to 114.28, 170.94 and 105.64 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.28 : 170.94 = 105.64 : x
  2. Step 2: Convert to fraction form
    114.28/170.94 = 105.64/x
  3. Step 3: Cross multiply
    114.28x = 170.94 × 105.64
  4. Step 4: Simplify right side
    114.28x = 18,058.10
  5. Step 5: Solve for x
    x = 18,058.10/114.28
  6. Step 6: Final answer
    x = 158.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.