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Finding the Fourth Proportional to 156.09, 233.90 and 109.77

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Solution

The fourth proportional to 156.09, 233.90 and 109.77 is: 164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 233.90 = 109.77 : x
  2. Step 2: Convert to fraction form
    156.09/233.90 = 109.77/x
  3. Step 3: Cross multiply
    156.09x = 233.90 × 109.77
  4. Step 4: Simplify right side
    156.09x = 25,674.65
  5. Step 5: Solve for x
    x = 25,674.65/156.09
  6. Step 6: Final answer
    x = 164.49

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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.