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Finding the Fourth Proportional to 94.59, 130.67 and 76.24

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Solution

The fourth proportional to 94.59, 130.67 and 76.24 is: 105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.59 : 130.67 = 76.24 : x
  2. Step 2: Convert to fraction form
    94.59/130.67 = 76.24/x
  3. Step 3: Cross multiply
    94.59x = 130.67 × 76.24
  4. Step 4: Simplify right side
    94.59x = 9,962.06
  5. Step 5: Solve for x
    x = 9,962.06/94.59
  6. Step 6: Final answer
    x = 105.31

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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.