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Finding the Fourth Proportional to 79.52, 119.70 and 71.01

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Solution

The fourth proportional to 79.52, 119.70 and 71.01 is: 106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.52 : 119.70 = 71.01 : x
  2. Step 2: Convert to fraction form
    79.52/119.70 = 71.01/x
  3. Step 3: Cross multiply
    79.52x = 119.70 × 71.01
  4. Step 4: Simplify right side
    79.52x = 8,499.90
  5. Step 5: Solve for x
    x = 8,499.90/79.52
  6. Step 6: Final answer
    x = 106.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.