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Finding the Fourth Proportional to 79.10, 119.14 and 70.64

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Solution

The fourth proportional to 79.10, 119.14 and 70.64 is: 106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.10 : 119.14 = 70.64 : x
  2. Step 2: Convert to fraction form
    79.10/119.14 = 70.64/x
  3. Step 3: Cross multiply
    79.10x = 119.14 × 70.64
  4. Step 4: Simplify right side
    79.10x = 8,415.54
  5. Step 5: Solve for x
    x = 8,415.54/79.10
  6. Step 6: Final answer
    x = 106.40

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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.