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Finding the Fourth Proportional to 88.85, 132.59 and 78.82

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Solution

The fourth proportional to 88.85, 132.59 and 78.82 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.85 : 132.59 = 78.82 : x
  2. Step 2: Convert to fraction form
    88.85/132.59 = 78.82/x
  3. Step 3: Cross multiply
    88.85x = 132.59 × 78.82
  4. Step 4: Simplify right side
    88.85x = 10,450.91
  5. Step 5: Solve for x
    x = 10,450.91/88.85
  6. Step 6: Final answer
    x = 117.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.