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Finding the Fourth Proportional to 94.92, 130.86 and 74.16

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Solution

The fourth proportional to 94.92, 130.86 and 74.16 is: 102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.92 : 130.86 = 74.16 : x
  2. Step 2: Convert to fraction form
    94.92/130.86 = 74.16/x
  3. Step 3: Cross multiply
    94.92x = 130.86 × 74.16
  4. Step 4: Simplify right side
    94.92x = 9,704.58
  5. Step 5: Solve for x
    x = 9,704.58/94.92
  6. Step 6: Final answer
    x = 102.24

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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.