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Finding the Fourth Proportional to 129.86, 193.54 and 129.66

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Solution

The fourth proportional to 129.86, 193.54 and 129.66 is: 193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.86 : 193.54 = 129.66 : x
  2. Step 2: Convert to fraction form
    129.86/193.54 = 129.66/x
  3. Step 3: Cross multiply
    129.86x = 193.54 × 129.66
  4. Step 4: Simplify right side
    129.86x = 25,094.40
  5. Step 5: Solve for x
    x = 25,094.40/129.86
  6. Step 6: Final answer
    x = 193.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.