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Finding the Fourth Proportional to 94.10, 129.86 and 61.34

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Solution

The fourth proportional to 94.10, 129.86 and 61.34 is: 84.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.10 : 129.86 = 61.34 : x
  2. Step 2: Convert to fraction form
    94.10/129.86 = 61.34/x
  3. Step 3: Cross multiply
    94.10x = 129.86 × 61.34
  4. Step 4: Simplify right side
    94.10x = 7,965.61
  5. Step 5: Solve for x
    x = 7,965.61/94.10
  6. Step 6: Final answer
    x = 84.65

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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.