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Finding the Fourth Proportional to 129.34, 177.25 and 117.04

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Solution

The fourth proportional to 129.34, 177.25 and 117.04 is: 160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.34 : 177.25 = 117.04 : x
  2. Step 2: Convert to fraction form
    129.34/177.25 = 117.04/x
  3. Step 3: Cross multiply
    129.34x = 177.25 × 117.04
  4. Step 4: Simplify right side
    129.34x = 20,745.34
  5. Step 5: Solve for x
    x = 20,745.34/129.34
  6. Step 6: Final answer
    x = 160.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.