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Finding the Fourth Proportional to 70.67, 96.76 and 70.40

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Solution

The fourth proportional to 70.67, 96.76 and 70.40 is: 96.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.67 : 96.76 = 70.40 : x
  2. Step 2: Convert to fraction form
    70.67/96.76 = 70.40/x
  3. Step 3: Cross multiply
    70.67x = 96.76 × 70.40
  4. Step 4: Simplify right side
    70.67x = 6,812.23
  5. Step 5: Solve for x
    x = 6,812.23/70.67
  6. Step 6: Final answer
    x = 96.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.