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Finding the Fourth Proportional to 160.45, 240.77 and 106.38

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Solution

The fourth proportional to 160.45, 240.77 and 106.38 is: 159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.45 : 240.77 = 106.38 : x
  2. Step 2: Convert to fraction form
    160.45/240.77 = 106.38/x
  3. Step 3: Cross multiply
    160.45x = 240.77 × 106.38
  4. Step 4: Simplify right side
    160.45x = 25,613.38
  5. Step 5: Solve for x
    x = 25,613.38/160.45
  6. Step 6: Final answer
    x = 159.64

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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.