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Finding the Fourth Proportional to 96.34, 144.44 and 47.58

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Solution

The fourth proportional to 96.34, 144.44 and 47.58 is: 71.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.34 : 144.44 = 47.58 : x
  2. Step 2: Convert to fraction form
    96.34/144.44 = 47.58/x
  3. Step 3: Cross multiply
    96.34x = 144.44 × 47.58
  4. Step 4: Simplify right side
    96.34x = 6,872.46
  5. Step 5: Solve for x
    x = 6,872.46/96.34
  6. Step 6: Final answer
    x = 71.34

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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.