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Finding the Fourth Proportional to 156.05, 215.04 and 103.54

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Solution

The fourth proportional to 156.05, 215.04 and 103.54 is: 142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.05 : 215.04 = 103.54 : x
  2. Step 2: Convert to fraction form
    156.05/215.04 = 103.54/x
  3. Step 3: Cross multiply
    156.05x = 215.04 × 103.54
  4. Step 4: Simplify right side
    156.05x = 22,265.24
  5. Step 5: Solve for x
    x = 22,265.24/156.05
  6. Step 6: Final answer
    x = 142.68

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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.