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Finding the Fourth Proportional to 124.07, 186.14 and 42.94

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Solution

The fourth proportional to 124.07, 186.14 and 42.94 is: 64.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.07 : 186.14 = 42.94 : x
  2. Step 2: Convert to fraction form
    124.07/186.14 = 42.94/x
  3. Step 3: Cross multiply
    124.07x = 186.14 × 42.94
  4. Step 4: Simplify right side
    124.07x = 7,992.85
  5. Step 5: Solve for x
    x = 7,992.85/124.07
  6. Step 6: Final answer
    x = 64.42

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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.