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Finding the Fourth Proportional to 102.01, 140.83 and 68.87

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Solution

The fourth proportional to 102.01, 140.83 and 68.87 is: 95.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.01 : 140.83 = 68.87 : x
  2. Step 2: Convert to fraction form
    102.01/140.83 = 68.87/x
  3. Step 3: Cross multiply
    102.01x = 140.83 × 68.87
  4. Step 4: Simplify right side
    102.01x = 9,699.43
  5. Step 5: Solve for x
    x = 9,699.43/102.01
  6. Step 6: Final answer
    x = 95.08

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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.