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Finding the Fourth Proportional to 103.77, 143.37 and 88.39

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Solution

The fourth proportional to 103.77, 143.37 and 88.39 is: 122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.77 : 143.37 = 88.39 : x
  2. Step 2: Convert to fraction form
    103.77/143.37 = 88.39/x
  3. Step 3: Cross multiply
    103.77x = 143.37 × 88.39
  4. Step 4: Simplify right side
    103.77x = 12,672.47
  5. Step 5: Solve for x
    x = 12,672.47/103.77
  6. Step 6: Final answer
    x = 122.12

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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.