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Finding the Fourth Proportional to 156.54, 216.09 and 113.11

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Solution

The fourth proportional to 156.54, 216.09 and 113.11 is: 156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.54 : 216.09 = 113.11 : x
  2. Step 2: Convert to fraction form
    156.54/216.09 = 113.11/x
  3. Step 3: Cross multiply
    156.54x = 216.09 × 113.11
  4. Step 4: Simplify right side
    156.54x = 24,441.94
  5. Step 5: Solve for x
    x = 24,441.94/156.54
  6. Step 6: Final answer
    x = 156.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.