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Finding the Fourth Proportional to 128.29, 177.05 and 72.29

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Solution

The fourth proportional to 128.29, 177.05 and 72.29 is: 99.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.29 : 177.05 = 72.29 : x
  2. Step 2: Convert to fraction form
    128.29/177.05 = 72.29/x
  3. Step 3: Cross multiply
    128.29x = 177.05 × 72.29
  4. Step 4: Simplify right side
    128.29x = 12,799.43
  5. Step 5: Solve for x
    x = 12,799.43/128.29
  6. Step 6: Final answer
    x = 99.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.