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Finding the Fourth Proportional to 160.13, 240.22 and 51.89

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Solution

The fourth proportional to 160.13, 240.22 and 51.89 is: 77.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.13 : 240.22 = 51.89 : x
  2. Step 2: Convert to fraction form
    160.13/240.22 = 51.89/x
  3. Step 3: Cross multiply
    160.13x = 240.22 × 51.89
  4. Step 4: Simplify right side
    160.13x = 12,464.94
  5. Step 5: Solve for x
    x = 12,464.94/160.13
  6. Step 6: Final answer
    x = 77.84

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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.