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Finding the Fourth Proportional to 124.42, 186.22 and 78.80

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Solution

The fourth proportional to 124.42, 186.22 and 78.80 is: 117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.42 : 186.22 = 78.80 : x
  2. Step 2: Convert to fraction form
    124.42/186.22 = 78.80/x
  3. Step 3: Cross multiply
    124.42x = 186.22 × 78.80
  4. Step 4: Simplify right side
    124.42x = 14,674.14
  5. Step 5: Solve for x
    x = 14,674.14/124.42
  6. Step 6: Final answer
    x = 117.94

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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.