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Finding the Fourth Proportional to 156.08, 214.98 and 109.37

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Solution

The fourth proportional to 156.08, 214.98 and 109.37 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.08 : 214.98 = 109.37 : x
  2. Step 2: Convert to fraction form
    156.08/214.98 = 109.37/x
  3. Step 3: Cross multiply
    156.08x = 214.98 × 109.37
  4. Step 4: Simplify right side
    156.08x = 23,511.29
  5. Step 5: Solve for x
    x = 23,511.29/156.08
  6. Step 6: Final answer
    x = 150.64

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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.