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Finding the Fourth Proportional to 71.92, 99.76 and 70.12

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Solution

The fourth proportional to 71.92, 99.76 and 70.12 is: 97.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.92 : 99.76 = 70.12 : x
  2. Step 2: Convert to fraction form
    71.92/99.76 = 70.12/x
  3. Step 3: Cross multiply
    71.92x = 99.76 × 70.12
  4. Step 4: Simplify right side
    71.92x = 6,995.17
  5. Step 5: Solve for x
    x = 6,995.17/71.92
  6. Step 6: Final answer
    x = 97.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.