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Finding the Fourth Proportional to 59.40, 89.09 and 35.06

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Solution

The fourth proportional to 59.40, 89.09 and 35.06 is: 52.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.40 : 89.09 = 35.06 : x
  2. Step 2: Convert to fraction form
    59.40/89.09 = 35.06/x
  3. Step 3: Cross multiply
    59.40x = 89.09 × 35.06
  4. Step 4: Simplify right side
    59.40x = 3,122.87
  5. Step 5: Solve for x
    x = 3,122.87/59.40
  6. Step 6: Final answer
    x = 52.57

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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.