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Finding the Fourth Proportional to 70.96, 97.68 and 52.51

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Solution

The fourth proportional to 70.96, 97.68 and 52.51 is: 72.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.96 : 97.68 = 52.51 : x
  2. Step 2: Convert to fraction form
    70.96/97.68 = 52.51/x
  3. Step 3: Cross multiply
    70.96x = 97.68 × 52.51
  4. Step 4: Simplify right side
    70.96x = 5,129.18
  5. Step 5: Solve for x
    x = 5,129.18/70.96
  6. Step 6: Final answer
    x = 72.28

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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.