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Finding the Fourth Proportional to 94.92, 130.96 and 65.84

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Solution

The fourth proportional to 94.92, 130.96 and 65.84 is: 90.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.92 : 130.96 = 65.84 : x
  2. Step 2: Convert to fraction form
    94.92/130.96 = 65.84/x
  3. Step 3: Cross multiply
    94.92x = 130.96 × 65.84
  4. Step 4: Simplify right side
    94.92x = 8,622.41
  5. Step 5: Solve for x
    x = 8,622.41/94.92
  6. Step 6: Final answer
    x = 90.84

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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.