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Finding the Fourth Proportional to 94.58, 130.43 and 76.16

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Solution

The fourth proportional to 94.58, 130.43 and 76.16 is: 105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.58 : 130.43 = 76.16 : x
  2. Step 2: Convert to fraction form
    94.58/130.43 = 76.16/x
  3. Step 3: Cross multiply
    94.58x = 130.43 × 76.16
  4. Step 4: Simplify right side
    94.58x = 9,932.52
  5. Step 5: Solve for x
    x = 9,932.52/94.58
  6. Step 6: Final answer
    x = 105.02

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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.