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Finding the Fourth Proportional to 102.06, 140.82 and 65.22

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Solution

The fourth proportional to 102.06, 140.82 and 65.22 is: 89.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.82 = 65.22 : x
  2. Step 2: Convert to fraction form
    102.06/140.82 = 65.22/x
  3. Step 3: Cross multiply
    102.06x = 140.82 × 65.22
  4. Step 4: Simplify right side
    102.06x = 9,184.28
  5. Step 5: Solve for x
    x = 9,184.28/102.06
  6. Step 6: Final answer
    x = 89.99

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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.