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Finding the Fourth Proportional to 129.29, 193.94 and 48.16

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Solution

The fourth proportional to 129.29, 193.94 and 48.16 is: 72.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.29 : 193.94 = 48.16 : x
  2. Step 2: Convert to fraction form
    129.29/193.94 = 48.16/x
  3. Step 3: Cross multiply
    129.29x = 193.94 × 48.16
  4. Step 4: Simplify right side
    129.29x = 9,338.94
  5. Step 5: Solve for x
    x = 9,338.94/129.29
  6. Step 6: Final answer
    x = 72.23

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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.