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Finding the Fourth Proportional to 160.41, 240.46 and 69.16

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Solution

The fourth proportional to 160.41, 240.46 and 69.16 is: 103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.41 : 240.46 = 69.16 : x
  2. Step 2: Convert to fraction form
    160.41/240.46 = 69.16/x
  3. Step 3: Cross multiply
    160.41x = 240.46 × 69.16
  4. Step 4: Simplify right side
    160.41x = 16,630.21
  5. Step 5: Solve for x
    x = 16,630.21/160.41
  6. Step 6: Final answer
    x = 103.67

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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.