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Finding the Fourth Proportional to 129.02, 177.69 and 120.78

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Solution

The fourth proportional to 129.02, 177.69 and 120.78 is: 166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.02 : 177.69 = 120.78 : x
  2. Step 2: Convert to fraction form
    129.02/177.69 = 120.78/x
  3. Step 3: Cross multiply
    129.02x = 177.69 × 120.78
  4. Step 4: Simplify right side
    129.02x = 21,461.40
  5. Step 5: Solve for x
    x = 21,461.40/129.02
  6. Step 6: Final answer
    x = 166.35

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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.