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Finding the Fourth Proportional to 59.76, 81.93 and 58.68

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Solution

The fourth proportional to 59.76, 81.93 and 58.68 is: 80.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.76 : 81.93 = 58.68 : x
  2. Step 2: Convert to fraction form
    59.76/81.93 = 58.68/x
  3. Step 3: Cross multiply
    59.76x = 81.93 × 58.68
  4. Step 4: Simplify right side
    59.76x = 4,807.65
  5. Step 5: Solve for x
    x = 4,807.65/59.76
  6. Step 6: Final answer
    x = 80.45

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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.