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Finding the Fourth Proportional to 88.46, 122.00 and 59.34

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Solution

The fourth proportional to 88.46, 122.00 and 59.34 is: 81.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.46 : 122.00 = 59.34 : x
  2. Step 2: Convert to fraction form
    88.46/122.00 = 59.34/x
  3. Step 3: Cross multiply
    88.46x = 122.00 × 59.34
  4. Step 4: Simplify right side
    88.46x = 7,239.18
  5. Step 5: Solve for x
    x = 7,239.18/88.46
  6. Step 6: Final answer
    x = 81.84

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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.