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Finding the Fourth Proportional to 104.86, 157.56 and 79.35

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Solution

The fourth proportional to 104.86, 157.56 and 79.35 is: 119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.86 : 157.56 = 79.35 : x
  2. Step 2: Convert to fraction form
    104.86/157.56 = 79.35/x
  3. Step 3: Cross multiply
    104.86x = 157.56 × 79.35
  4. Step 4: Simplify right side
    104.86x = 12,502.39
  5. Step 5: Solve for x
    x = 12,502.39/104.86
  6. Step 6: Final answer
    x = 119.23

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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.