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Finding the Fourth Proportional to 124.02, 171 and 80.34

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Solution

The fourth proportional to 124.02, 171 and 80.34 is: 110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 171 = 80.34 : x
  2. Step 2: Convert to fraction form
    124.02/171 = 80.34/x
  3. Step 3: Cross multiply
    124.02x = 171 × 80.34
  4. Step 4: Simplify right side
    124.02x = 13,738.14
  5. Step 5: Solve for x
    x = 13,738.14/124.02
  6. Step 6: Final answer
    x = 110.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.