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Finding the Fourth Proportional to 70.64, 97.50 and 49.97

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Solution

The fourth proportional to 70.64, 97.50 and 49.97 is: 68.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.64 : 97.50 = 49.97 : x
  2. Step 2: Convert to fraction form
    70.64/97.50 = 49.97/x
  3. Step 3: Cross multiply
    70.64x = 97.50 × 49.97
  4. Step 4: Simplify right side
    70.64x = 4,871.96
  5. Step 5: Solve for x
    x = 4,871.96/70.64
  6. Step 6: Final answer
    x = 68.97

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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.