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Finding the Fourth Proportional to 58.57, 80.41 and 53.08

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Solution

The fourth proportional to 58.57, 80.41 and 53.08 is: 72.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.57 : 80.41 = 53.08 : x
  2. Step 2: Convert to fraction form
    58.57/80.41 = 53.08/x
  3. Step 3: Cross multiply
    58.57x = 80.41 × 53.08
  4. Step 4: Simplify right side
    58.57x = 4,268.16
  5. Step 5: Solve for x
    x = 4,268.16/58.57
  6. Step 6: Final answer
    x = 72.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.