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Finding the Fourth Proportional to 102.17, 140.83 and 74.50

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Solution

The fourth proportional to 102.17, 140.83 and 74.50 is: 102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.17 : 140.83 = 74.50 : x
  2. Step 2: Convert to fraction form
    102.17/140.83 = 74.50/x
  3. Step 3: Cross multiply
    102.17x = 140.83 × 74.50
  4. Step 4: Simplify right side
    102.17x = 10,491.84
  5. Step 5: Solve for x
    x = 10,491.84/102.17
  6. Step 6: Final answer
    x = 102.69

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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.