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Finding the Fourth Proportional to 59.12, 81.60 and 54.68

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Solution

The fourth proportional to 59.12, 81.60 and 54.68 is: 75.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.12 : 81.60 = 54.68 : x
  2. Step 2: Convert to fraction form
    59.12/81.60 = 54.68/x
  3. Step 3: Cross multiply
    59.12x = 81.60 × 54.68
  4. Step 4: Simplify right side
    59.12x = 4,461.89
  5. Step 5: Solve for x
    x = 4,461.89/59.12
  6. Step 6: Final answer
    x = 75.47

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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.