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Finding the Fourth Proportional to 129.48, 194.22 and 65.16

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Solution

The fourth proportional to 129.48, 194.22 and 65.16 is: 97.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.48 : 194.22 = 65.16 : x
  2. Step 2: Convert to fraction form
    129.48/194.22 = 65.16/x
  3. Step 3: Cross multiply
    129.48x = 194.22 × 65.16
  4. Step 4: Simplify right side
    129.48x = 12,655.38
  5. Step 5: Solve for x
    x = 12,655.38/129.48
  6. Step 6: Final answer
    x = 97.74

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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.