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Finding the Fourth Proportional to 74.19, 102.17 and 68.06

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Solution

The fourth proportional to 74.19, 102.17 and 68.06 is: 93.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.19 : 102.17 = 68.06 : x
  2. Step 2: Convert to fraction form
    74.19/102.17 = 68.06/x
  3. Step 3: Cross multiply
    74.19x = 102.17 × 68.06
  4. Step 4: Simplify right side
    74.19x = 6,954.12
  5. Step 5: Solve for x
    x = 6,954.12/74.19
  6. Step 6: Final answer
    x = 93.74

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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.