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Finding the Fourth Proportional to 70.64, 97.46 and 48.80

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Solution

The fourth proportional to 70.64, 97.46 and 48.80 is: 67.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.64 : 97.46 = 48.80 : x
  2. Step 2: Convert to fraction form
    70.64/97.46 = 48.80/x
  3. Step 3: Cross multiply
    70.64x = 97.46 × 48.80
  4. Step 4: Simplify right side
    70.64x = 4,756.05
  5. Step 5: Solve for x
    x = 4,756.05/70.64
  6. Step 6: Final answer
    x = 67.33

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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.