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Finding the Fourth Proportional to 79.53, 119.07 and 70.53

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Solution

The fourth proportional to 79.53, 119.07 and 70.53 is: 105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.53 : 119.07 = 70.53 : x
  2. Step 2: Convert to fraction form
    79.53/119.07 = 70.53/x
  3. Step 3: Cross multiply
    79.53x = 119.07 × 70.53
  4. Step 4: Simplify right side
    79.53x = 8,398.01
  5. Step 5: Solve for x
    x = 8,398.01/79.53
  6. Step 6: Final answer
    x = 105.60

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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.