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Finding the Fourth Proportional to 59.76, 83.05 and 59.00

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Solution

The fourth proportional to 59.76, 83.05 and 59.00 is: 81.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.76 : 83.05 = 59.00 : x
  2. Step 2: Convert to fraction form
    59.76/83.05 = 59.00/x
  3. Step 3: Cross multiply
    59.76x = 83.05 × 59.00
  4. Step 4: Simplify right side
    59.76x = 4,899.39
  5. Step 5: Solve for x
    x = 4,899.39/59.76
  6. Step 6: Final answer
    x = 81.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.