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Finding the Fourth Proportional to 89.66, 134.56 and 41.60

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Solution

The fourth proportional to 89.66, 134.56 and 41.60 is: 62.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.66 : 134.56 = 41.60 : x
  2. Step 2: Convert to fraction form
    89.66/134.56 = 41.60/x
  3. Step 3: Cross multiply
    89.66x = 134.56 × 41.60
  4. Step 4: Simplify right side
    89.66x = 5,597.70
  5. Step 5: Solve for x
    x = 5,597.70/89.66
  6. Step 6: Final answer
    x = 62.43

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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.