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Finding the Fourth Proportional to 160.46, 240.75 and 73.79

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Solution

The fourth proportional to 160.46, 240.75 and 73.79 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.46 : 240.75 = 73.79 : x
  2. Step 2: Convert to fraction form
    160.46/240.75 = 73.79/x
  3. Step 3: Cross multiply
    160.46x = 240.75 × 73.79
  4. Step 4: Simplify right side
    160.46x = 17,763.74
  5. Step 5: Solve for x
    x = 17,763.74/160.46
  6. Step 6: Final answer
    x = 110.71

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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.