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Finding the Fourth Proportional to 89.40, 134.67 and 87.66

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Solution

The fourth proportional to 89.40, 134.67 and 87.66 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.40 : 134.67 = 87.66 : x
  2. Step 2: Convert to fraction form
    89.40/134.67 = 87.66/x
  3. Step 3: Cross multiply
    89.40x = 134.67 × 87.66
  4. Step 4: Simplify right side
    89.40x = 11,805.17
  5. Step 5: Solve for x
    x = 11,805.17/89.40
  6. Step 6: Final answer
    x = 132.05

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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.