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Finding the Fourth Proportional to 156.09, 215.45 and 103.64

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Solution

The fourth proportional to 156.09, 215.45 and 103.64 is: 143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 215.45 = 103.64 : x
  2. Step 2: Convert to fraction form
    156.09/215.45 = 103.64/x
  3. Step 3: Cross multiply
    156.09x = 215.45 × 103.64
  4. Step 4: Simplify right side
    156.09x = 22,329.24
  5. Step 5: Solve for x
    x = 22,329.24/156.09
  6. Step 6: Final answer
    x = 143.05

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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.