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Finding the Fourth Proportional to 124.46, 171.73 and 77.82

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Solution

The fourth proportional to 124.46, 171.73 and 77.82 is: 107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.46 : 171.73 = 77.82 : x
  2. Step 2: Convert to fraction form
    124.46/171.73 = 77.82/x
  3. Step 3: Cross multiply
    124.46x = 171.73 × 77.82
  4. Step 4: Simplify right side
    124.46x = 13,364.03
  5. Step 5: Solve for x
    x = 13,364.03/124.46
  6. Step 6: Final answer
    x = 107.38

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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.