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Finding the Fourth Proportional to 156.29, 215.60 and 100.97

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Solution

The fourth proportional to 156.29, 215.60 and 100.97 is: 139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.29 : 215.60 = 100.97 : x
  2. Step 2: Convert to fraction form
    156.29/215.60 = 100.97/x
  3. Step 3: Cross multiply
    156.29x = 215.60 × 100.97
  4. Step 4: Simplify right side
    156.29x = 21,769.13
  5. Step 5: Solve for x
    x = 21,769.13/156.29
  6. Step 6: Final answer
    x = 139.29

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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.