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Finding the Fourth Proportional to 114.77, 171.81 and 82.23

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Solution

The fourth proportional to 114.77, 171.81 and 82.23 is: 123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.77 : 171.81 = 82.23 : x
  2. Step 2: Convert to fraction form
    114.77/171.81 = 82.23/x
  3. Step 3: Cross multiply
    114.77x = 171.81 × 82.23
  4. Step 4: Simplify right side
    114.77x = 14,127.94
  5. Step 5: Solve for x
    x = 14,127.94/114.77
  6. Step 6: Final answer
    x = 123.10

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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.