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Finding the Fourth Proportional to 156.18, 233.84 and 112.72

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Solution

The fourth proportional to 156.18, 233.84 and 112.72 is: 168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.18 : 233.84 = 112.72 : x
  2. Step 2: Convert to fraction form
    156.18/233.84 = 112.72/x
  3. Step 3: Cross multiply
    156.18x = 233.84 × 112.72
  4. Step 4: Simplify right side
    156.18x = 26,358.44
  5. Step 5: Solve for x
    x = 26,358.44/156.18
  6. Step 6: Final answer
    x = 168.77

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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.