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Finding the Fourth Proportional to 160.55, 240.41 and 102.83

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Solution

The fourth proportional to 160.55, 240.41 and 102.83 is: 153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.55 : 240.41 = 102.83 : x
  2. Step 2: Convert to fraction form
    160.55/240.41 = 102.83/x
  3. Step 3: Cross multiply
    160.55x = 240.41 × 102.83
  4. Step 4: Simplify right side
    160.55x = 24,721.45
  5. Step 5: Solve for x
    x = 24,721.45/160.55
  6. Step 6: Final answer
    x = 153.98

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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.