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Finding the Fourth Proportional to 103.76, 143.10 and 97.98

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Solution

The fourth proportional to 103.76, 143.10 and 97.98 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.76 : 143.10 = 97.98 : x
  2. Step 2: Convert to fraction form
    103.76/143.10 = 97.98/x
  3. Step 3: Cross multiply
    103.76x = 143.10 × 97.98
  4. Step 4: Simplify right side
    103.76x = 14,020.94
  5. Step 5: Solve for x
    x = 14,020.94/103.76
  6. Step 6: Final answer
    x = 135.13

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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.