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Finding the Fourth Proportional to 124.52, 186.60 and 109.64

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Solution

The fourth proportional to 124.52, 186.60 and 109.64 is: 164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.52 : 186.60 = 109.64 : x
  2. Step 2: Convert to fraction form
    124.52/186.60 = 109.64/x
  3. Step 3: Cross multiply
    124.52x = 186.60 × 109.64
  4. Step 4: Simplify right side
    124.52x = 20,458.82
  5. Step 5: Solve for x
    x = 20,458.82/124.52
  6. Step 6: Final answer
    x = 164.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.