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Finding the Fourth Proportional to 94.42, 130.18 and 76.87

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Solution

The fourth proportional to 94.42, 130.18 and 76.87 is: 105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.42 : 130.18 = 76.87 : x
  2. Step 2: Convert to fraction form
    94.42/130.18 = 76.87/x
  3. Step 3: Cross multiply
    94.42x = 130.18 × 76.87
  4. Step 4: Simplify right side
    94.42x = 10,006.94
  5. Step 5: Solve for x
    x = 10,006.94/94.42
  6. Step 6: Final answer
    x = 105.98

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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.