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Finding the Fourth Proportional to 103.07, 153.56 and 96.44

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Solution

The fourth proportional to 103.07, 153.56 and 96.44 is: 143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.07 : 153.56 = 96.44 : x
  2. Step 2: Convert to fraction form
    103.07/153.56 = 96.44/x
  3. Step 3: Cross multiply
    103.07x = 153.56 × 96.44
  4. Step 4: Simplify right side
    103.07x = 14,808.80
  5. Step 5: Solve for x
    x = 14,808.80/103.07
  6. Step 6: Final answer
    x = 143.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.