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Finding the Fourth Proportional to 59.54, 81.51 and 57.70

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Solution

The fourth proportional to 59.54, 81.51 and 57.70 is: 78.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.54 : 81.51 = 57.70 : x
  2. Step 2: Convert to fraction form
    59.54/81.51 = 57.70/x
  3. Step 3: Cross multiply
    59.54x = 81.51 × 57.70
  4. Step 4: Simplify right side
    59.54x = 4,702.43
  5. Step 5: Solve for x
    x = 4,702.43/59.54
  6. Step 6: Final answer
    x = 78.98

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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.