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Finding the Fourth Proportional to 94.16, 129.93 and 54.82

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Solution

The fourth proportional to 94.16, 129.93 and 54.82 is: 75.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.16 : 129.93 = 54.82 : x
  2. Step 2: Convert to fraction form
    94.16/129.93 = 54.82/x
  3. Step 3: Cross multiply
    94.16x = 129.93 × 54.82
  4. Step 4: Simplify right side
    94.16x = 7,122.76
  5. Step 5: Solve for x
    x = 7,122.76/94.16
  6. Step 6: Final answer
    x = 75.65

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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.