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Finding the Fourth Proportional to 156.75, 216.41 and 105.09

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Solution

The fourth proportional to 156.75, 216.41 and 105.09 is: 145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.75 : 216.41 = 105.09 : x
  2. Step 2: Convert to fraction form
    156.75/216.41 = 105.09/x
  3. Step 3: Cross multiply
    156.75x = 216.41 × 105.09
  4. Step 4: Simplify right side
    156.75x = 22,742.00
  5. Step 5: Solve for x
    x = 22,742.00/156.75
  6. Step 6: Final answer
    x = 145.08

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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.