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Finding the Fourth Proportional to 73.84, 102.02 and 60.20

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Solution

The fourth proportional to 73.84, 102.02 and 60.20 is: 83.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.84 : 102.02 = 60.20 : x
  2. Step 2: Convert to fraction form
    73.84/102.02 = 60.20/x
  3. Step 3: Cross multiply
    73.84x = 102.02 × 60.20
  4. Step 4: Simplify right side
    73.84x = 6,141.60
  5. Step 5: Solve for x
    x = 6,141.60/73.84
  6. Step 6: Final answer
    x = 83.17

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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.