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Finding the Fourth Proportional to 156.17, 233.91 and 112.94

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Solution

The fourth proportional to 156.17, 233.91 and 112.94 is: 169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.17 : 233.91 = 112.94 : x
  2. Step 2: Convert to fraction form
    156.17/233.91 = 112.94/x
  3. Step 3: Cross multiply
    156.17x = 233.91 × 112.94
  4. Step 4: Simplify right side
    156.17x = 26,416.94
  5. Step 5: Solve for x
    x = 26,416.94/156.17
  6. Step 6: Final answer
    x = 169.16

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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.