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Finding the Fourth Proportional to 59.75, 89.69 and 35.42

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Solution

The fourth proportional to 59.75, 89.69 and 35.42 is: 53.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.75 : 89.69 = 35.42 : x
  2. Step 2: Convert to fraction form
    59.75/89.69 = 35.42/x
  3. Step 3: Cross multiply
    59.75x = 89.69 × 35.42
  4. Step 4: Simplify right side
    59.75x = 3,176.87
  5. Step 5: Solve for x
    x = 3,176.87/59.75
  6. Step 6: Final answer
    x = 53.17

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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.