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Finding the Fourth Proportional to 70.08, 104.96 and 64.14

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Solution

The fourth proportional to 70.08, 104.96 and 64.14 is: 96.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.08 : 104.96 = 64.14 : x
  2. Step 2: Convert to fraction form
    70.08/104.96 = 64.14/x
  3. Step 3: Cross multiply
    70.08x = 104.96 × 64.14
  4. Step 4: Simplify right side
    70.08x = 6,732.13
  5. Step 5: Solve for x
    x = 6,732.13/70.08
  6. Step 6: Final answer
    x = 96.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.