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Finding the Fourth Proportional to 88.62, 122.34 and 65.38

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Solution

The fourth proportional to 88.62, 122.34 and 65.38 is: 90.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.62 : 122.34 = 65.38 : x
  2. Step 2: Convert to fraction form
    88.62/122.34 = 65.38/x
  3. Step 3: Cross multiply
    88.62x = 122.34 × 65.38
  4. Step 4: Simplify right side
    88.62x = 7,998.55
  5. Step 5: Solve for x
    x = 7,998.55/88.62
  6. Step 6: Final answer
    x = 90.26

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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.