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Finding the Fourth Proportional to 59.31, 89 and 32.26

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Solution

The fourth proportional to 59.31, 89 and 32.26 is: 48.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.31 : 89 = 32.26 : x
  2. Step 2: Convert to fraction form
    59.31/89 = 32.26/x
  3. Step 3: Cross multiply
    59.31x = 89 × 32.26
  4. Step 4: Simplify right side
    59.31x = 2,871.14
  5. Step 5: Solve for x
    x = 2,871.14/59.31
  6. Step 6: Final answer
    x = 48.41

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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.