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Finding the Fourth Proportional to 58.60, 80.72 and 54.82

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Solution

The fourth proportional to 58.60, 80.72 and 54.82 is: 75.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.60 : 80.72 = 54.82 : x
  2. Step 2: Convert to fraction form
    58.60/80.72 = 54.82/x
  3. Step 3: Cross multiply
    58.60x = 80.72 × 54.82
  4. Step 4: Simplify right side
    58.60x = 4,424.80
  5. Step 5: Solve for x
    x = 4,424.80/58.60
  6. Step 6: Final answer
    x = 75.51

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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.