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Finding the Fourth Proportional to 79.70, 119.59 and 45.41

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Solution

The fourth proportional to 79.70, 119.59 and 45.41 is: 68.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.70 : 119.59 = 45.41 : x
  2. Step 2: Convert to fraction form
    79.70/119.59 = 45.41/x
  3. Step 3: Cross multiply
    79.70x = 119.59 × 45.41
  4. Step 4: Simplify right side
    79.70x = 5,430.77
  5. Step 5: Solve for x
    x = 5,430.77/79.70
  6. Step 6: Final answer
    x = 68.14

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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.