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Finding the Fourth Proportional to 129.85, 178.95 and 98.64

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Solution

The fourth proportional to 129.85, 178.95 and 98.64 is: 135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.85 : 178.95 = 98.64 : x
  2. Step 2: Convert to fraction form
    129.85/178.95 = 98.64/x
  3. Step 3: Cross multiply
    129.85x = 178.95 × 98.64
  4. Step 4: Simplify right side
    129.85x = 17,651.81
  5. Step 5: Solve for x
    x = 17,651.81/129.85
  6. Step 6: Final answer
    x = 135.94

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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.