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Finding the Fourth Proportional to 89.10, 134.46 and 89.10

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Solution

The fourth proportional to 89.10, 134.46 and 89.10 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.10 : 134.46 = 89.10 : x
  2. Step 2: Convert to fraction form
    89.10/134.46 = 89.10/x
  3. Step 3: Cross multiply
    89.10x = 134.46 × 89.10
  4. Step 4: Simplify right side
    89.10x = 11,980.39
  5. Step 5: Solve for x
    x = 11,980.39/89.10
  6. Step 6: Final answer
    x = 134.46

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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.