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Finding the Fourth Proportional to 128.96, 193.35 and 77.63

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Solution

The fourth proportional to 128.96, 193.35 and 77.63 is: 116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.96 : 193.35 = 77.63 : x
  2. Step 2: Convert to fraction form
    128.96/193.35 = 77.63/x
  3. Step 3: Cross multiply
    128.96x = 193.35 × 77.63
  4. Step 4: Simplify right side
    128.96x = 15,009.76
  5. Step 5: Solve for x
    x = 15,009.76/128.96
  6. Step 6: Final answer
    x = 116.39

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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.