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Finding the Fourth Proportional to 119.70, 179.24 and 79.00

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Solution

The fourth proportional to 119.70, 179.24 and 79.00 is: 118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.70 : 179.24 = 79.00 : x
  2. Step 2: Convert to fraction form
    119.70/179.24 = 79.00/x
  3. Step 3: Cross multiply
    119.70x = 179.24 × 79.00
  4. Step 4: Simplify right side
    119.70x = 14,159.12
  5. Step 5: Solve for x
    x = 14,159.12/119.70
  6. Step 6: Final answer
    x = 118.29

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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.