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Finding the Fourth Proportional to 104.64, 144.36 and 70.14

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Solution

The fourth proportional to 104.64, 144.36 and 70.14 is: 96.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.64 : 144.36 = 70.14 : x
  2. Step 2: Convert to fraction form
    104.64/144.36 = 70.14/x
  3. Step 3: Cross multiply
    104.64x = 144.36 × 70.14
  4. Step 4: Simplify right side
    104.64x = 10,125.41
  5. Step 5: Solve for x
    x = 10,125.41/104.64
  6. Step 6: Final answer
    x = 96.76

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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.