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Finding the Fourth Proportional to 89.12, 133.72 and 64.80

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Solution

The fourth proportional to 89.12, 133.72 and 64.80 is: 97.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.12 : 133.72 = 64.80 : x
  2. Step 2: Convert to fraction form
    89.12/133.72 = 64.80/x
  3. Step 3: Cross multiply
    89.12x = 133.72 × 64.80
  4. Step 4: Simplify right side
    89.12x = 8,665.06
  5. Step 5: Solve for x
    x = 8,665.06/89.12
  6. Step 6: Final answer
    x = 97.23

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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.