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Finding the Fourth Proportional to 88.24, 121.98 and 73.84

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Solution

The fourth proportional to 88.24, 121.98 and 73.84 is: 102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.24 : 121.98 = 73.84 : x
  2. Step 2: Convert to fraction form
    88.24/121.98 = 73.84/x
  3. Step 3: Cross multiply
    88.24x = 121.98 × 73.84
  4. Step 4: Simplify right side
    88.24x = 9,007.00
  5. Step 5: Solve for x
    x = 9,007.00/88.24
  6. Step 6: Final answer
    x = 102.07

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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.