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Finding the Fourth Proportional to 129.51, 195.05 and 117.99

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Solution

The fourth proportional to 129.51, 195.05 and 117.99 is: 177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.51 : 195.05 = 117.99 : x
  2. Step 2: Convert to fraction form
    129.51/195.05 = 117.99/x
  3. Step 3: Cross multiply
    129.51x = 195.05 × 117.99
  4. Step 4: Simplify right side
    129.51x = 23,014.24
  5. Step 5: Solve for x
    x = 23,014.24/129.51
  6. Step 6: Final answer
    x = 177.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.