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Finding the Fourth Proportional to 124.49, 186.75 and 76.70

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Solution

The fourth proportional to 124.49, 186.75 and 76.70 is: 115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.49 : 186.75 = 76.70 : x
  2. Step 2: Convert to fraction form
    124.49/186.75 = 76.70/x
  3. Step 3: Cross multiply
    124.49x = 186.75 × 76.70
  4. Step 4: Simplify right side
    124.49x = 14,324.19
  5. Step 5: Solve for x
    x = 14,324.19/124.49
  6. Step 6: Final answer
    x = 115.06

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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.