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Finding the Fourth Proportional to 128.76, 193.15 and 74.66

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Solution

The fourth proportional to 128.76, 193.15 and 74.66 is: 112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.76 : 193.15 = 74.66 : x
  2. Step 2: Convert to fraction form
    128.76/193.15 = 74.66/x
  3. Step 3: Cross multiply
    128.76x = 193.15 × 74.66
  4. Step 4: Simplify right side
    128.76x = 14,420.58
  5. Step 5: Solve for x
    x = 14,420.58/128.76
  6. Step 6: Final answer
    x = 112.00

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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.