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Finding the Fourth Proportional to 129.16, 178.32 and 98.02

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Solution

The fourth proportional to 129.16, 178.32 and 98.02 is: 135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.16 : 178.32 = 98.02 : x
  2. Step 2: Convert to fraction form
    129.16/178.32 = 98.02/x
  3. Step 3: Cross multiply
    129.16x = 178.32 × 98.02
  4. Step 4: Simplify right side
    129.16x = 17,478.93
  5. Step 5: Solve for x
    x = 17,478.93/129.16
  6. Step 6: Final answer
    x = 135.33

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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.