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Finding the Fourth Proportional to 70.76, 105.96 and 65.48

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Solution

The fourth proportional to 70.76, 105.96 and 65.48 is: 98.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.76 : 105.96 = 65.48 : x
  2. Step 2: Convert to fraction form
    70.76/105.96 = 65.48/x
  3. Step 3: Cross multiply
    70.76x = 105.96 × 65.48
  4. Step 4: Simplify right side
    70.76x = 6,938.26
  5. Step 5: Solve for x
    x = 6,938.26/70.76
  6. Step 6: Final answer
    x = 98.05

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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.