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Finding the Fourth Proportional to 70.64, 105.66 and 64.16

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Solution

The fourth proportional to 70.64, 105.66 and 64.16 is: 95.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.64 : 105.66 = 64.16 : x
  2. Step 2: Convert to fraction form
    70.64/105.66 = 64.16/x
  3. Step 3: Cross multiply
    70.64x = 105.66 × 64.16
  4. Step 4: Simplify right side
    70.64x = 6,779.15
  5. Step 5: Solve for x
    x = 6,779.15/70.64
  6. Step 6: Final answer
    x = 95.97

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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.