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Finding the Fourth Proportional to 94.72, 130.69 and 53.27

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Solution

The fourth proportional to 94.72, 130.69 and 53.27 is: 73.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.72 : 130.69 = 53.27 : x
  2. Step 2: Convert to fraction form
    94.72/130.69 = 53.27/x
  3. Step 3: Cross multiply
    94.72x = 130.69 × 53.27
  4. Step 4: Simplify right side
    94.72x = 6,961.86
  5. Step 5: Solve for x
    x = 6,961.86/94.72
  6. Step 6: Final answer
    x = 73.50

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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.