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Finding the Fourth Proportional to 89.77, 134.01 and 85.83

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Solution

The fourth proportional to 89.77, 134.01 and 85.83 is: 128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.77 : 134.01 = 85.83 : x
  2. Step 2: Convert to fraction form
    89.77/134.01 = 85.83/x
  3. Step 3: Cross multiply
    89.77x = 134.01 × 85.83
  4. Step 4: Simplify right side
    89.77x = 11,502.08
  5. Step 5: Solve for x
    x = 11,502.08/89.77
  6. Step 6: Final answer
    x = 128.13

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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.