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Finding the Fourth Proportional to 114.40, 171.61 and 33.23

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Solution

The fourth proportional to 114.40, 171.61 and 33.23 is: 49.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.40 : 171.61 = 33.23 : x
  2. Step 2: Convert to fraction form
    114.40/171.61 = 33.23/x
  3. Step 3: Cross multiply
    114.40x = 171.61 × 33.23
  4. Step 4: Simplify right side
    114.40x = 5,701.96
  5. Step 5: Solve for x
    x = 5,701.96/114.40
  6. Step 6: Final answer
    x = 49.84

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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.