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Finding the Fourth Proportional to 88.46, 122.11 and 65.10

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Solution

The fourth proportional to 88.46, 122.11 and 65.10 is: 89.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.46 : 122.11 = 65.10 : x
  2. Step 2: Convert to fraction form
    88.46/122.11 = 65.10/x
  3. Step 3: Cross multiply
    88.46x = 122.11 × 65.10
  4. Step 4: Simplify right side
    88.46x = 7,949.20
  5. Step 5: Solve for x
    x = 7,949.20/88.46
  6. Step 6: Final answer
    x = 89.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.