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Finding the Fourth Proportional to 104.58, 144.32 and 75.12

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Solution

The fourth proportional to 104.58, 144.32 and 75.12 is: 103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.58 : 144.32 = 75.12 : x
  2. Step 2: Convert to fraction form
    104.58/144.32 = 75.12/x
  3. Step 3: Cross multiply
    104.58x = 144.32 × 75.12
  4. Step 4: Simplify right side
    104.58x = 10,841.32
  5. Step 5: Solve for x
    x = 10,841.32/104.58
  6. Step 6: Final answer
    x = 103.67

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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.