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Finding the Fourth Proportional to 156.13, 233.92 and 110.41

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Solution

The fourth proportional to 156.13, 233.92 and 110.41 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.13 : 233.92 = 110.41 : x
  2. Step 2: Convert to fraction form
    156.13/233.92 = 110.41/x
  3. Step 3: Cross multiply
    156.13x = 233.92 × 110.41
  4. Step 4: Simplify right side
    156.13x = 25,827.11
  5. Step 5: Solve for x
    x = 25,827.11/156.13
  6. Step 6: Final answer
    x = 165.42

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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.