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Finding the Fourth Proportional to 103.08, 142.02 and 89.87

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Solution

The fourth proportional to 103.08, 142.02 and 89.87 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.08 : 142.02 = 89.87 : x
  2. Step 2: Convert to fraction form
    103.08/142.02 = 89.87/x
  3. Step 3: Cross multiply
    103.08x = 142.02 × 89.87
  4. Step 4: Simplify right side
    103.08x = 12,762.63
  5. Step 5: Solve for x
    x = 12,762.63/103.08
  6. Step 6: Final answer
    x = 123.82

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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.