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Finding the Fourth Proportional to 89.72, 133.69 and 86.28

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Solution

The fourth proportional to 89.72, 133.69 and 86.28 is: 128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.72 : 133.69 = 86.28 : x
  2. Step 2: Convert to fraction form
    89.72/133.69 = 86.28/x
  3. Step 3: Cross multiply
    89.72x = 133.69 × 86.28
  4. Step 4: Simplify right side
    89.72x = 11,534.77
  5. Step 5: Solve for x
    x = 11,534.77/89.72
  6. Step 6: Final answer
    x = 128.56

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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.