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Finding the Fourth Proportional to 156, 215.04 and 114.56

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Solution

The fourth proportional to 156, 215.04 and 114.56 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156 : 215.04 = 114.56 : x
  2. Step 2: Convert to fraction form
    156/215.04 = 114.56/x
  3. Step 3: Cross multiply
    156x = 215.04 × 114.56
  4. Step 4: Simplify right side
    156x = 24,634.98
  5. Step 5: Solve for x
    x = 24,634.98/156
  6. Step 6: Final answer
    x = 157.92

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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.