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Finding the Fourth Proportional to 128.94, 193.42 and 47.77

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Solution

The fourth proportional to 128.94, 193.42 and 47.77 is: 71.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.94 : 193.42 = 47.77 : x
  2. Step 2: Convert to fraction form
    128.94/193.42 = 47.77/x
  3. Step 3: Cross multiply
    128.94x = 193.42 × 47.77
  4. Step 4: Simplify right side
    128.94x = 9,239.67
  5. Step 5: Solve for x
    x = 9,239.67/128.94
  6. Step 6: Final answer
    x = 71.66

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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.