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Finding the Fourth Proportional to 114.11, 171.11 and 40.98

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Solution

The fourth proportional to 114.11, 171.11 and 40.98 is: 61.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.11 : 171.11 = 40.98 : x
  2. Step 2: Convert to fraction form
    114.11/171.11 = 40.98/x
  3. Step 3: Cross multiply
    114.11x = 171.11 × 40.98
  4. Step 4: Simplify right side
    114.11x = 7,011.03
  5. Step 5: Solve for x
    x = 7,011.03/114.11
  6. Step 6: Final answer
    x = 61.44

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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.