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Finding the Fourth Proportional to 59.58, 82.23 and 53.50

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Solution

The fourth proportional to 59.58, 82.23 and 53.50 is: 73.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.58 : 82.23 = 53.50 : x
  2. Step 2: Convert to fraction form
    59.58/82.23 = 53.50/x
  3. Step 3: Cross multiply
    59.58x = 82.23 × 53.50
  4. Step 4: Simplify right side
    59.58x = 4,399.31
  5. Step 5: Solve for x
    x = 4,399.31/59.58
  6. Step 6: Final answer
    x = 73.84

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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.