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Finding the Fourth Proportional to 89.16, 134.42 and 89.16

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Solution

The fourth proportional to 89.16, 134.42 and 89.16 is: 134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.16 : 134.42 = 89.16 : x
  2. Step 2: Convert to fraction form
    89.16/134.42 = 89.16/x
  3. Step 3: Cross multiply
    89.16x = 134.42 × 89.16
  4. Step 4: Simplify right side
    89.16x = 11,984.89
  5. Step 5: Solve for x
    x = 11,984.89/89.16
  6. Step 6: Final answer
    x = 134.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.