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Finding the Fourth Proportional to 70.02, 96.64 and 66.76

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Solution

The fourth proportional to 70.02, 96.64 and 66.76 is: 92.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.02 : 96.64 = 66.76 : x
  2. Step 2: Convert to fraction form
    70.02/96.64 = 66.76/x
  3. Step 3: Cross multiply
    70.02x = 96.64 × 66.76
  4. Step 4: Simplify right side
    70.02x = 6,451.69
  5. Step 5: Solve for x
    x = 6,451.69/70.02
  6. Step 6: Final answer
    x = 92.14

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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.