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Finding the Fourth Proportional to 59.38, 89.05 and 23.31

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Solution

The fourth proportional to 59.38, 89.05 and 23.31 is: 34.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.38 : 89.05 = 23.31 : x
  2. Step 2: Convert to fraction form
    59.38/89.05 = 23.31/x
  3. Step 3: Cross multiply
    59.38x = 89.05 × 23.31
  4. Step 4: Simplify right side
    59.38x = 2,075.76
  5. Step 5: Solve for x
    x = 2,075.76/59.38
  6. Step 6: Final answer
    x = 34.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.