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Finding the Fourth Proportional to 94.93, 131.02 and 53.48

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Solution

The fourth proportional to 94.93, 131.02 and 53.48 is: 73.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.93 : 131.02 = 53.48 : x
  2. Step 2: Convert to fraction form
    94.93/131.02 = 53.48/x
  3. Step 3: Cross multiply
    94.93x = 131.02 × 53.48
  4. Step 4: Simplify right side
    94.93x = 7,007.14
  5. Step 5: Solve for x
    x = 7,007.14/94.93
  6. Step 6: Final answer
    x = 73.82

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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.