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Finding the Fourth Proportional to 124.53, 186.78 and 52.38

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Solution

The fourth proportional to 124.53, 186.78 and 52.38 is: 78.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.53 : 186.78 = 52.38 : x
  2. Step 2: Convert to fraction form
    124.53/186.78 = 52.38/x
  3. Step 3: Cross multiply
    124.53x = 186.78 × 52.38
  4. Step 4: Simplify right side
    124.53x = 9,783.54
  5. Step 5: Solve for x
    x = 9,783.54/124.53
  6. Step 6: Final answer
    x = 78.56

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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.