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Finding the Fourth Proportional to 88.96, 132.83 and 76.10

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Solution

The fourth proportional to 88.96, 132.83 and 76.10 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.96 : 132.83 = 76.10 : x
  2. Step 2: Convert to fraction form
    88.96/132.83 = 76.10/x
  3. Step 3: Cross multiply
    88.96x = 132.83 × 76.10
  4. Step 4: Simplify right side
    88.96x = 10,108.19
  5. Step 5: Solve for x
    x = 10,108.19/88.96
  6. Step 6: Final answer
    x = 113.63

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Why These Related Problems?

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