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Finding the Fourth Proportional to 160.03, 240.02 and 44.46

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Solution

The fourth proportional to 160.03, 240.02 and 44.46 is: 66.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.03 : 240.02 = 44.46 : x
  2. Step 2: Convert to fraction form
    160.03/240.02 = 44.46/x
  3. Step 3: Cross multiply
    160.03x = 240.02 × 44.46
  4. Step 4: Simplify right side
    160.03x = 10,670.68
  5. Step 5: Solve for x
    x = 10,670.68/160.03
  6. Step 6: Final answer
    x = 66.68

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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.