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Finding the Fourth Proportional to 89.64, 134.64 and 78.84

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Solution

The fourth proportional to 89.64, 134.64 and 78.84 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.64 : 134.64 = 78.84 : x
  2. Step 2: Convert to fraction form
    89.64/134.64 = 78.84/x
  3. Step 3: Cross multiply
    89.64x = 134.64 × 78.84
  4. Step 4: Simplify right side
    89.64x = 10,615.02
  5. Step 5: Solve for x
    x = 10,615.02/89.64
  6. Step 6: Final answer
    x = 118.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.