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Finding the Fourth Proportional to 156.33, 215.53 and 103.88

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Solution

The fourth proportional to 156.33, 215.53 and 103.88 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.33 : 215.53 = 103.88 : x
  2. Step 2: Convert to fraction form
    156.33/215.53 = 103.88/x
  3. Step 3: Cross multiply
    156.33x = 215.53 × 103.88
  4. Step 4: Simplify right side
    156.33x = 22,389.54
  5. Step 5: Solve for x
    x = 22,389.54/156.33
  6. Step 6: Final answer
    x = 143.22

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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.