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Finding the Fourth Proportional to 102.35, 140.88 and 89.39

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Solution

The fourth proportional to 102.35, 140.88 and 89.39 is: 123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.35 : 140.88 = 89.39 : x
  2. Step 2: Convert to fraction form
    102.35/140.88 = 89.39/x
  3. Step 3: Cross multiply
    102.35x = 140.88 × 89.39
  4. Step 4: Simplify right side
    102.35x = 12,593.26
  5. Step 5: Solve for x
    x = 12,593.26/102.35
  6. Step 6: Final answer
    x = 123.04

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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.