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Finding the Fourth Proportional to 79.50, 119.01 and 59.12

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Solution

The fourth proportional to 79.50, 119.01 and 59.12 is: 88.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.50 : 119.01 = 59.12 : x
  2. Step 2: Convert to fraction form
    79.50/119.01 = 59.12/x
  3. Step 3: Cross multiply
    79.50x = 119.01 × 59.12
  4. Step 4: Simplify right side
    79.50x = 7,035.87
  5. Step 5: Solve for x
    x = 7,035.87/79.50
  6. Step 6: Final answer
    x = 88.50

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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.