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Finding the Fourth Proportional to 124.06, 186.08 and 32.75

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Solution

The fourth proportional to 124.06, 186.08 and 32.75 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.06 : 186.08 = 32.75 : x
  2. Step 2: Convert to fraction form
    124.06/186.08 = 32.75/x
  3. Step 3: Cross multiply
    124.06x = 186.08 × 32.75
  4. Step 4: Simplify right side
    124.06x = 6,094.12
  5. Step 5: Solve for x
    x = 6,094.12/124.06
  6. Step 6: Final answer
    x = 49.12

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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.