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Finding the Fourth Proportional to 243.72, 365.58 and 106.77

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Solution

The fourth proportional to 243.72, 365.58 and 106.77 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.72 : 365.58 = 106.77 : x
  2. Step 2: Convert to fraction form
    243.72/365.58 = 106.77/x
  3. Step 3: Cross multiply
    243.72x = 365.58 × 106.77
  4. Step 4: Simplify right side
    243.72x = 39,032.98
  5. Step 5: Solve for x
    x = 39,032.98/243.72
  6. Step 6: Final answer
    x = 160.16

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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.