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Finding the Fourth Proportional to 94.54, 130.46 and 53.09

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Solution

The fourth proportional to 94.54, 130.46 and 53.09 is: 73.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.54 : 130.46 = 53.09 : x
  2. Step 2: Convert to fraction form
    94.54/130.46 = 53.09/x
  3. Step 3: Cross multiply
    94.54x = 130.46 × 53.09
  4. Step 4: Simplify right side
    94.54x = 6,925.86
  5. Step 5: Solve for x
    x = 6,925.86/94.54
  6. Step 6: Final answer
    x = 73.26

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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.