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Finding the Fourth Proportional to 71.12, 97.44 and 70.26

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Solution

The fourth proportional to 71.12, 97.44 and 70.26 is: 96.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 97.44 = 70.26 : x
  2. Step 2: Convert to fraction form
    71.12/97.44 = 70.26/x
  3. Step 3: Cross multiply
    71.12x = 97.44 × 70.26
  4. Step 4: Simplify right side
    71.12x = 6,846.13
  5. Step 5: Solve for x
    x = 6,846.13/71.12
  6. Step 6: Final answer
    x = 96.27

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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.