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Finding the Fourth Proportional to 89.37, 134.58 and 78.09

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Solution

The fourth proportional to 89.37, 134.58 and 78.09 is: 117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.37 : 134.58 = 78.09 : x
  2. Step 2: Convert to fraction form
    89.37/134.58 = 78.09/x
  3. Step 3: Cross multiply
    89.37x = 134.58 × 78.09
  4. Step 4: Simplify right side
    89.37x = 10,509.35
  5. Step 5: Solve for x
    x = 10,509.35/89.37
  6. Step 6: Final answer
    x = 117.59

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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.