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Finding the Fourth Proportional to 96.34, 132.78 and 70.42

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Solution

The fourth proportional to 96.34, 132.78 and 70.42 is: 97.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.34 : 132.78 = 70.42 : x
  2. Step 2: Convert to fraction form
    96.34/132.78 = 70.42/x
  3. Step 3: Cross multiply
    96.34x = 132.78 × 70.42
  4. Step 4: Simplify right side
    96.34x = 9,350.37
  5. Step 5: Solve for x
    x = 9,350.37/96.34
  6. Step 6: Final answer
    x = 97.06

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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.