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Finding the Fourth Proportional to 59.59, 82.22 and 53.46

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Solution

The fourth proportional to 59.59, 82.22 and 53.46 is: 73.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.59 : 82.22 = 53.46 : x
  2. Step 2: Convert to fraction form
    59.59/82.22 = 53.46/x
  3. Step 3: Cross multiply
    59.59x = 82.22 × 53.46
  4. Step 4: Simplify right side
    59.59x = 4,395.21
  5. Step 5: Solve for x
    x = 4,395.21/59.59
  6. Step 6: Final answer
    x = 73.76

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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.