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Finding the Fourth Proportional to 129.02, 177.68 and 93.98

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Solution

The fourth proportional to 129.02, 177.68 and 93.98 is: 129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.02 : 177.68 = 93.98 : x
  2. Step 2: Convert to fraction form
    129.02/177.68 = 93.98/x
  3. Step 3: Cross multiply
    129.02x = 177.68 × 93.98
  4. Step 4: Simplify right side
    129.02x = 16,699.05
  5. Step 5: Solve for x
    x = 16,699.05/129.02
  6. Step 6: Final answer
    x = 129.43

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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.