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Finding the Fourth Proportional to 114.28, 171.48 and 109.84

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Solution

The fourth proportional to 114.28, 171.48 and 109.84 is: 164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.28 : 171.48 = 109.84 : x
  2. Step 2: Convert to fraction form
    114.28/171.48 = 109.84/x
  3. Step 3: Cross multiply
    114.28x = 171.48 × 109.84
  4. Step 4: Simplify right side
    114.28x = 18,835.36
  5. Step 5: Solve for x
    x = 18,835.36/114.28
  6. Step 6: Final answer
    x = 164.82

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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.