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Finding the Fourth Proportional to 160.72, 240.91 and 52.43

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Solution

The fourth proportional to 160.72, 240.91 and 52.43 is: 78.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.72 : 240.91 = 52.43 : x
  2. Step 2: Convert to fraction form
    160.72/240.91 = 52.43/x
  3. Step 3: Cross multiply
    160.72x = 240.91 × 52.43
  4. Step 4: Simplify right side
    160.72x = 12,630.65
  5. Step 5: Solve for x
    x = 12,630.65/160.72
  6. Step 6: Final answer
    x = 78.59

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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.