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Finding the Fourth Proportional to 59.46, 89.24 and 35.11

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Solution

The fourth proportional to 59.46, 89.24 and 35.11 is: 52.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.46 : 89.24 = 35.11 : x
  2. Step 2: Convert to fraction form
    59.46/89.24 = 35.11/x
  3. Step 3: Cross multiply
    59.46x = 89.24 × 35.11
  4. Step 4: Simplify right side
    59.46x = 3,133.22
  5. Step 5: Solve for x
    x = 3,133.22/59.46
  6. Step 6: Final answer
    x = 52.69

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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.