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Finding the Fourth Proportional to 89.15, 133.00 and 76.16

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Solution

The fourth proportional to 89.15, 133.00 and 76.16 is: 113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.15 : 133.00 = 76.16 : x
  2. Step 2: Convert to fraction form
    89.15/133.00 = 76.16/x
  3. Step 3: Cross multiply
    89.15x = 133.00 × 76.16
  4. Step 4: Simplify right side
    89.15x = 10,128.42
  5. Step 5: Solve for x
    x = 10,128.42/89.15
  6. Step 6: Final answer
    x = 113.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.