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Finding the Fourth Proportional to 94.40, 130.17 and 61.16

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Solution

The fourth proportional to 94.40, 130.17 and 61.16 is: 84.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.40 : 130.17 = 61.16 : x
  2. Step 2: Convert to fraction form
    94.40/130.17 = 61.16/x
  3. Step 3: Cross multiply
    94.40x = 130.17 × 61.16
  4. Step 4: Simplify right side
    94.40x = 7,960.78
  5. Step 5: Solve for x
    x = 7,960.78/94.40
  6. Step 6: Final answer
    x = 84.33

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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.