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Finding the Fourth Proportional to 88.94, 122.64 and 61.22

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Solution

The fourth proportional to 88.94, 122.64 and 61.22 is: 84.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.94 : 122.64 = 61.22 : x
  2. Step 2: Convert to fraction form
    88.94/122.64 = 61.22/x
  3. Step 3: Cross multiply
    88.94x = 122.64 × 61.22
  4. Step 4: Simplify right side
    88.94x = 7,508.02
  5. Step 5: Solve for x
    x = 7,508.02/88.94
  6. Step 6: Final answer
    x = 84.42

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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.