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Finding the Fourth Proportional to 102.02, 140.45 and 89.64

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Solution

The fourth proportional to 102.02, 140.45 and 89.64 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 140.45 = 89.64 : x
  2. Step 2: Convert to fraction form
    102.02/140.45 = 89.64/x
  3. Step 3: Cross multiply
    102.02x = 140.45 × 89.64
  4. Step 4: Simplify right side
    102.02x = 12,589.49
  5. Step 5: Solve for x
    x = 12,589.49/102.02
  6. Step 6: Final answer
    x = 123.41

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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.