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Finding the Fourth Proportional to 124.40, 186.51 and 51.27

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Solution

The fourth proportional to 124.40, 186.51 and 51.27 is: 76.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.40 : 186.51 = 51.27 : x
  2. Step 2: Convert to fraction form
    124.40/186.51 = 51.27/x
  3. Step 3: Cross multiply
    124.40x = 186.51 × 51.27
  4. Step 4: Simplify right side
    124.40x = 9,562.37
  5. Step 5: Solve for x
    x = 9,562.37/124.40
  6. Step 6: Final answer
    x = 76.87

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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.