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Finding the Fourth Proportional to 102.18, 140.83 and 74.51

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Solution

The fourth proportional to 102.18, 140.83 and 74.51 is: 102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.18 : 140.83 = 74.51 : x
  2. Step 2: Convert to fraction form
    102.18/140.83 = 74.51/x
  3. Step 3: Cross multiply
    102.18x = 140.83 × 74.51
  4. Step 4: Simplify right side
    102.18x = 10,493.24
  5. Step 5: Solve for x
    x = 10,493.24/102.18
  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.