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Finding the Fourth Proportional to 129.84, 194.56 and 48.58

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Solution

The fourth proportional to 129.84, 194.56 and 48.58 is: 72.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.84 : 194.56 = 48.58 : x
  2. Step 2: Convert to fraction form
    129.84/194.56 = 48.58/x
  3. Step 3: Cross multiply
    129.84x = 194.56 × 48.58
  4. Step 4: Simplify right side
    129.84x = 9,451.72
  5. Step 5: Solve for x
    x = 9,451.72/129.84
  6. Step 6: Final answer
    x = 72.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.