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Finding the Fourth Proportional to 59.49, 89.17 and 32.05

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Solution

The fourth proportional to 59.49, 89.17 and 32.05 is: 48.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.49 : 89.17 = 32.05 : x
  2. Step 2: Convert to fraction form
    59.49/89.17 = 32.05/x
  3. Step 3: Cross multiply
    59.49x = 89.17 × 32.05
  4. Step 4: Simplify right side
    59.49x = 2,857.60
  5. Step 5: Solve for x
    x = 2,857.60/59.49
  6. Step 6: Final answer
    x = 48.03

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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.