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Finding the Fourth Proportional to 124.62, 186.02 and 106.40

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Solution

The fourth proportional to 124.62, 186.02 and 106.40 is: 158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.62 : 186.02 = 106.40 : x
  2. Step 2: Convert to fraction form
    124.62/186.02 = 106.40/x
  3. Step 3: Cross multiply
    124.62x = 186.02 × 106.40
  4. Step 4: Simplify right side
    124.62x = 19,791.07
  5. Step 5: Solve for x
    x = 19,791.07/124.62
  6. Step 6: Final answer
    x = 158.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.