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Finding the Fourth Proportional to 113.02, 156.04 and 69.43

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Solution

The fourth proportional to 113.02, 156.04 and 69.43 is: 95.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.02 : 156.04 = 69.43 : x
  2. Step 2: Convert to fraction form
    113.02/156.04 = 69.43/x
  3. Step 3: Cross multiply
    113.02x = 156.04 × 69.43
  4. Step 4: Simplify right side
    113.02x = 10,833.29
  5. Step 5: Solve for x
    x = 10,833.29/113.02
  6. Step 6: Final answer
    x = 95.86

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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.