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Finding the Fourth Proportional to 124.05, 185.79 and 78.32

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Solution

The fourth proportional to 124.05, 185.79 and 78.32 is: 117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.05 : 185.79 = 78.32 : x
  2. Step 2: Convert to fraction form
    124.05/185.79 = 78.32/x
  3. Step 3: Cross multiply
    124.05x = 185.79 × 78.32
  4. Step 4: Simplify right side
    124.05x = 14,550.14
  5. Step 5: Solve for x
    x = 14,550.14/124.05
  6. Step 6: Final answer
    x = 117.29

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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.