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Finding the Fourth Proportional to 89.71, 134.58 and 53.60

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Solution

The fourth proportional to 89.71, 134.58 and 53.60 is: 80.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.71 : 134.58 = 53.60 : x
  2. Step 2: Convert to fraction form
    89.71/134.58 = 53.60/x
  3. Step 3: Cross multiply
    89.71x = 134.58 × 53.60
  4. Step 4: Simplify right side
    89.71x = 7,213.49
  5. Step 5: Solve for x
    x = 7,213.49/89.71
  6. Step 6: Final answer
    x = 80.41

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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.