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Finding the Fourth Proportional to 59.03, 81.50 and 38.36

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Solution

The fourth proportional to 59.03, 81.50 and 38.36 is: 52.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.03 : 81.50 = 38.36 : x
  2. Step 2: Convert to fraction form
    59.03/81.50 = 38.36/x
  3. Step 3: Cross multiply
    59.03x = 81.50 × 38.36
  4. Step 4: Simplify right side
    59.03x = 3,125.74
  5. Step 5: Solve for x
    x = 3,125.74/59.03
  6. Step 6: Final answer
    x = 52.96

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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.