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Finding the Fourth Proportional to 103.70, 142.98 and 89.12

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Solution

The fourth proportional to 103.70, 142.98 and 89.12 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.70 : 142.98 = 89.12 : x
  2. Step 2: Convert to fraction form
    103.70/142.98 = 89.12/x
  3. Step 3: Cross multiply
    103.70x = 142.98 × 89.12
  4. Step 4: Simplify right side
    103.70x = 12,742.38
  5. Step 5: Solve for x
    x = 12,742.38/103.70
  6. Step 6: Final answer
    x = 122.88

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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.