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Finding the Fourth Proportional to 60.09, 89.97 and 41.77

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Solution

The fourth proportional to 60.09, 89.97 and 41.77 is: 62.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.09 : 89.97 = 41.77 : x
  2. Step 2: Convert to fraction form
    60.09/89.97 = 41.77/x
  3. Step 3: Cross multiply
    60.09x = 89.97 × 41.77
  4. Step 4: Simplify right side
    60.09x = 3,758.05
  5. Step 5: Solve for x
    x = 3,758.05/60.09
  6. Step 6: Final answer
    x = 62.54

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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.