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Finding the Fourth Proportional to 156.26, 215.57 and 103.08

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Solution

The fourth proportional to 156.26, 215.57 and 103.08 is: 142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.26 : 215.57 = 103.08 : x
  2. Step 2: Convert to fraction form
    156.26/215.57 = 103.08/x
  3. Step 3: Cross multiply
    156.26x = 215.57 × 103.08
  4. Step 4: Simplify right side
    156.26x = 22,220.96
  5. Step 5: Solve for x
    x = 22,220.96/156.26
  6. Step 6: Final answer
    x = 142.21

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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.