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Finding the Fourth Proportional to 128.96, 193.54 and 47.82

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Solution

The fourth proportional to 128.96, 193.54 and 47.82 is: 71.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.96 : 193.54 = 47.82 : x
  2. Step 2: Convert to fraction form
    128.96/193.54 = 47.82/x
  3. Step 3: Cross multiply
    128.96x = 193.54 × 47.82
  4. Step 4: Simplify right side
    128.96x = 9,255.08
  5. Step 5: Solve for x
    x = 9,255.08/128.96
  6. Step 6: Final answer
    x = 71.77

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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.