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Finding the Fourth Proportional to 70.16, 105.04 and 64

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Solution

The fourth proportional to 70.16, 105.04 and 64 is: 95.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.16 : 105.04 = 64 : x
  2. Step 2: Convert to fraction form
    70.16/105.04 = 64/x
  3. Step 3: Cross multiply
    70.16x = 105.04 × 64
  4. Step 4: Simplify right side
    70.16x = 6,722.56
  5. Step 5: Solve for x
    x = 6,722.56/70.16
  6. Step 6: Final answer
    x = 95.82

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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.