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Finding the Fourth Proportional to 70.83, 97.72 and 40.91

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Solution

The fourth proportional to 70.83, 97.72 and 40.91 is: 56.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.83 : 97.72 = 40.91 : x
  2. Step 2: Convert to fraction form
    70.83/97.72 = 40.91/x
  3. Step 3: Cross multiply
    70.83x = 97.72 × 40.91
  4. Step 4: Simplify right side
    70.83x = 3,997.13
  5. Step 5: Solve for x
    x = 3,997.13/70.83
  6. Step 6: Final answer
    x = 56.43

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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.