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Finding the Fourth Proportional to 70.28, 96.78 and 60.37

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Solution

The fourth proportional to 70.28, 96.78 and 60.37 is: 83.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.28 : 96.78 = 60.37 : x
  2. Step 2: Convert to fraction form
    70.28/96.78 = 60.37/x
  3. Step 3: Cross multiply
    70.28x = 96.78 × 60.37
  4. Step 4: Simplify right side
    70.28x = 5,842.37
  5. Step 5: Solve for x
    x = 5,842.37/70.28
  6. Step 6: Final answer
    x = 83.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.