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Finding the Fourth Proportional to 124.82, 186.86 and 100.52

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Solution

The fourth proportional to 124.82, 186.86 and 100.52 is: 150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.82 : 186.86 = 100.52 : x
  2. Step 2: Convert to fraction form
    124.82/186.86 = 100.52/x
  3. Step 3: Cross multiply
    124.82x = 186.86 × 100.52
  4. Step 4: Simplify right side
    124.82x = 18,783.17
  5. Step 5: Solve for x
    x = 18,783.17/124.82
  6. Step 6: Final answer
    x = 150.48

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