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Finding the Fourth Proportional to 102.03, 140.74 and 69.22

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Solution

The fourth proportional to 102.03, 140.74 and 69.22 is: 95.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.03 : 140.74 = 69.22 : x
  2. Step 2: Convert to fraction form
    102.03/140.74 = 69.22/x
  3. Step 3: Cross multiply
    102.03x = 140.74 × 69.22
  4. Step 4: Simplify right side
    102.03x = 9,742.02
  5. Step 5: Solve for x
    x = 9,742.02/102.03
  6. Step 6: Final answer
    x = 95.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.