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Finding the Fourth Proportional to 124.86, 186.35 and 114.54

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Solution

The fourth proportional to 124.86, 186.35 and 114.54 is: 170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.86 : 186.35 = 114.54 : x
  2. Step 2: Convert to fraction form
    124.86/186.35 = 114.54/x
  3. Step 3: Cross multiply
    124.86x = 186.35 × 114.54
  4. Step 4: Simplify right side
    124.86x = 21,344.53
  5. Step 5: Solve for x
    x = 21,344.53/124.86
  6. Step 6: Final answer
    x = 170.95

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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.